Substitute: \( 2(3w + w) = 96 \) - United Radiology

April 20, 2026 · United Radiology

["SEO Optimized Article: How to Solve \( 2(3w + w) = 96 \) – Step-by-Step Guide", "---", "## Master Linear Equations: Solve \( 2(3w + w) = 96 \) Easily", "Solving linear equations is a fundamental skill in algebra, essential for students, math enthusiasts, and professionals tackling real-world problems. One commonly encountered equation is:", "\( 2(3w + w) = 96 \)", "Whether you're preparing for exams, learning algebra for the first time, or just looking to reinforce your math skills, this guide will walk you through solving the equation step-by-step — plus explain why understanding this process matters.", "---", "### What Does the Equation Mean?", "The equation \( 2(3w + w) = 96 \) involves:", "- Distributive multiplication across parentheses
\n- Combining like terms
\n- Isolating the variable \( w \)", "This type of problem helps build critical thinking and problem-solving abilities — key competencies in STEM education and beyond.", "---", "### Step-by-Step Solution to \( 2(3w + w) = 96 \)", "Step 1: Simplify inside the parentheses", "Start with:", "\[
\n2(3w + w) = 96
\n\]", "Combine like terms inside the parentheses:", "\[
\n3w + w = 4w
\n\]", "Now the equation becomes:", "\[
\n2 \cdot 4w = 96
\n\]", "Step 2: Multiply", "\[
\n2 \ imes 4w = 8w
\n\]", "So:", "\[
\n8w = 96
\n\]", "Step 3: Solve for \( w \)", "Divide both sides by 8:", "\[
\nw = \frac{96}{8} = 12
\n\]", "---", "### Final Answer:", "\[
\nw = 12
\n\]", "---", "### Why This Equation Matters 📚", "Understanding how to solve equations like \( 2(3w + w) = 96 \) is crucial because:", "✅ It builds foundational algebra skills
\n✅ It prepares learners for advanced math topics such as functions and systems of equations
\n✅ It applies to real-life situations — from budgeting to physics formulas
\n✅ It boosts logical reasoning and analytical thinking", "---", "### Tips to Solve Similar Equations Faster", "- Always simplify inside parentheses before applying multiplication
\n- Combine like terms early to reduce complexity
\n- Use inverse operations to isolate the variable
\n- Always check your solution by substituting back into the original equation", "---", "### Conclusion", "Solving \( 2(3w + w) = 96 \) is simple once you understand each algebraic step. With practice, these foundational skills empower you to tackle more complex problems — making math not just easy, but fun and empowering.", "Key Takeaway: Mastering linear equations opens doors to advanced mathematics and practical problem-solving. Start today — solve \( 2(3w + w) = 96 \), and build confidence in algebra!", "---", "### Keywords for SEO:

\n

AlgebraSolutions, #SolveLinearEquations, #WrizingEquations, #MathTips, #AlgebraForStudents, #EquationSolver, #Solve2(3w + w) = 96, #StepByStepMath, #LearnAlgebra", "---", "Explore more algebra tutorials and practice problems to strengthen your math foundation!", "---", "Editor's Note: Understanding algebraic fundamentals is the bridge to success in higher-level math. Keep practicing, stay curious, and master the basics today."]

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