["Solve \( 2(3w) = 48 \) Step-by-Step – A Complete Guide", "Understanding how to solve simple algebraic equations is a vital skill in math and everyday problem-solving. One of the most common beginner equations is \( 2(3w) = 48 \). In this article, we’ll break down how to solve for \( w \) step-by-step, explain the math behind it, and share helpful tips so you can confidently tackle similar problems.", "---", "### What Does the Equation \( 2(3w) = 48 \) Mean?", "The equation \( 2(3w) = 48 \) represents a real-world scenario where doubling a value multiplied by three gives a total of 48. This format appears frequently in algebra, especially when introducing variables and expression simplification.", "---", "### Step 1: Simplify the Expression on the Left", "Start with:", "\[
\n2(3w) = 48
\n\]", "The expression \( 2(3w) \) means “2 times 3 times w.” Apply the associative property:", "\[
\n(2 \ imes 3) \ imes w = 6w
\n\]", "So, the equation simplifies to:", "\[
\n6w = 48
\n\]", "---", "### Step 2: Isolate the Variable \( w \)", "To find \( w \), divide both sides of the equation by 6:", "\[
\nw = \frac{48}{6}
\n\]", "\[
\nw = 8
\n\]", "---", "### Step 3: Verify the Solution", "Plug \( w = 8 \) back into the original equation to confirm:", "\[
\n2(3 \ imes 8) = 2(24) = 48
\n\]", "✅ The equation holds true — so \( w = 8 \) is correct.", "---", "### Why This Equation Matters", "- Linear equations like this form the foundation for more complex math.
\n- Learning to solve equations teaches logical thinking and step-by-step reasoning.
\n- Real-life applications include calculating rates, costs, measurements, and more.", "---", "### Tips for Solving Similar Equations", "1. Always simplify expressions first: Distribute any multipliers inside parentheses.
\n2. Combine coefficients: When you multiply constants with variables, sum their coefficients.
\n3. Balance both sides: Whatever you do to one side, you must do to the other to maintain equality.
\n4. Check your answer: Substitute the value found back into the original equation.", "---", "### Summary", "Solving \( 2(3w) = 48 \) involves:", "- Simplifying: \( 6w = 48 \)
\n- Dividing: \( w = 8 \)
\n- Verification: Confirm by substituting back
\n- Mastering this builds essential algebra skills for math success", "---", "If you're just starting with algebra, practice equations like \( 2(3w) = 48 \) regularly — they’re simple yet powerful stepping stones to advanced math. Download practice worksheets or use online tools to strengthen your skills!", "---", "Keywords for SEO:
