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Simplifying (n + -2) * 180 = n(160) Reorder the terms: (-2 + n) * 180 = n(160) Reorder the terms for easier multiplication: 180(-2 + n) = n(160) (-2 * 180 + n * 180) = n(160) (-360 + 180n) = n(160) Reorder the terms for easier multiplication: -360 + 180n = 160n Solving -360 + 180n = 160n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-160n' to each side of the equation. -360 + 180n + -160n = 160n + -160n Combine like terms: 180n + -160n = 20n -360 + 20n = 160n + -160n Combine like terms: 160n + -160n = 0 -360 + 20n = 0 Add '360' to each side of the equation. -360 + 360 + 20n = 0 + 360 Combine like terms: -360 + 360 = 0 0 + 20n = 0 + 360 20n = 0 + 360 Combine like terms: 0 + 360 = 360 20n = 360 Divide each side by '20'. n = 18 Simplifying n = 18
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