Setting \( 180(n-2) = 1440 \), solve for \( n \):

["Title: How to Solve the Linear Equation ( 180(n - 2) = 1440 ): Step-by-Step Guide", "---", "Introduction\nMathematics is full of problems that start as simple equations but unlock deeper understanding. One common challenge students face is solving linear equations like ( 180(n - 2) = 1440 ). Whether you're studying algebra or preparing for standardized tests, knowing how to isolate variables and solve such equations is essential. In this article, we’ll walk through solving ( 180(n - 2) = 1440 ) step-by-step, showing exactly how to find ( n ) and why each step matters.", "---", "What’s the Equation ( 180(n - 2) = 1440 )?\nThis equation models a real-world scenario where a base rate is adjusted. Here, ( n ) represents the unknown number of periods or steps, and the expression ( 180(n - 2) ) likely represents total cumulative value over ( n - 2 ) intervals with a consistent base of 180 per interval. The right side, 1440, stands for total aggregation. Solving this confirms how many intervals ( n ) are needed to reach 1440.", "---", "Step 1: Isolate the Parent Expression\nThe equation starts with:\n[\n180(n - 2) = 1440\n]\nTo simplify, we divide both sides by 180 to eliminate the coefficient. This is the first standard algebraic step:", "[\n\frac{180(n - 2)}{180} = \frac{1440}{180}\n]", "Simplifying:\n[\nn - 2 = 8\n]", "---", "Step 2: Solve for ( n )\nNow that we have ( n - 2 = 8 ), we isolate ( n ) by adding 2 to both sides:", "[\nn = 8 + 2\n]", "[\nn = 10\n]", "---", "Conclusion\nThe solution to ( 180(n - 2) = 1440 ) is ( n = 10 ). This means 10 intervals are required for the quantity growing at 180 per interval to accumulate to 1440, after excluding 2 base intervals.", "---", "Why This Equation Matters\nLinear equations like this appear in finance (total interest), physics (uniform motion), scheduling (time management), and more. Mastering them strengthens problem-solving skills vital across disciplines.", "---", "Final Answer:\n[\n\boxed{n = 10}\n]", "---", "Keywords: solve ( 180(n - 2) = 1440 ), linear equation solution, algebra step-by-step, isolate variable, math problem solving, percentage growth, equation teaching, equations for beginners.", "---", "Need practice? Try setting up and solving more equations like this to boost fluency!"]