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