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Simplifying -117 = 3(5m + -4) Reorder the terms: -117 = 3(-4 + 5m) -117 = (-4 * 3 + 5m * 3) -117 = (-12 + 15m) Solving -117 = -12 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -117 + -15m = -12 + 15m + -15m Combine like terms: 15m + -15m = 0 -117 + -15m = -12 + 0 -117 + -15m = -12 Add '117' to each side of the equation. -117 + 117 + -15m = -12 + 117 Combine like terms: -117 + 117 = 0 0 + -15m = -12 + 117 -15m = -12 + 117 Combine like terms: -12 + 117 = 105 -15m = 105 Divide each side by '-15'. m = -7 Simplifying m = -7
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