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Simplifying -3(1 + -12m) = 92 + 17m (1 * -3 + -12m * -3) = 92 + 17m (-3 + 36m) = 92 + 17m Solving -3 + 36m = 92 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. -3 + 36m + -17m = 92 + 17m + -17m Combine like terms: 36m + -17m = 19m -3 + 19m = 92 + 17m + -17m Combine like terms: 17m + -17m = 0 -3 + 19m = 92 + 0 -3 + 19m = 92 Add '3' to each side of the equation. -3 + 3 + 19m = 92 + 3 Combine like terms: -3 + 3 = 0 0 + 19m = 92 + 3 19m = 92 + 3 Combine like terms: 92 + 3 = 95 19m = 95 Divide each side by '19'. m = 5 Simplifying m = 5
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