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Simplifying (-120) = 6(1 + -6n) + -6n -120 = 6(1 + -6n) + -6n -120 = (1 * 6 + -6n * 6) + -6n -120 = (6 + -36n) + -6n Combine like terms: -36n + -6n = -42n -120 = 6 + -42n Solving -120 = 6 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -120 + 42n = 6 + -42n + 42n Combine like terms: -42n + 42n = 0 -120 + 42n = 6 + 0 -120 + 42n = 6 Add '120' to each side of the equation. -120 + 120 + 42n = 6 + 120 Combine like terms: -120 + 120 = 0 0 + 42n = 6 + 120 42n = 6 + 120 Combine like terms: 6 + 120 = 126 42n = 126 Divide each side by '42'. n = 3 Simplifying n = 3
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