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Simplifying -180 = 5n + -8(6n + 1) Reorder the terms: -180 = 5n + -8(1 + 6n) -180 = 5n + (1 * -8 + 6n * -8) -180 = 5n + (-8 + -48n) Reorder the terms: -180 = -8 + 5n + -48n Combine like terms: 5n + -48n = -43n -180 = -8 + -43n Solving -180 = -8 + -43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43n' to each side of the equation. -180 + 43n = -8 + -43n + 43n Combine like terms: -43n + 43n = 0 -180 + 43n = -8 + 0 -180 + 43n = -8 Add '180' to each side of the equation. -180 + 180 + 43n = -8 + 180 Combine like terms: -180 + 180 = 0 0 + 43n = -8 + 180 43n = -8 + 180 Combine like terms: -8 + 180 = 172 43n = 172 Divide each side by '43'. n = 4 Simplifying n = 4
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