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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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