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Simplifying 117 = -3(1 + -5n) 117 = (1 * -3 + -5n * -3) 117 = (-3 + 15n) Solving 117 = -3 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 117 + -15n = -3 + 15n + -15n Combine like terms: 15n + -15n = 0 117 + -15n = -3 + 0 117 + -15n = -3 Add '-117' to each side of the equation. 117 + -117 + -15n = -3 + -117 Combine like terms: 117 + -117 = 0 0 + -15n = -3 + -117 -15n = -3 + -117 Combine like terms: -3 + -117 = -120 -15n = -120 Divide each side by '-15'. n = 8 Simplifying n = 8
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