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Simplifying 3(4m + 5) + 6m = 8(3m + -2) + -7m Reorder the terms: 3(5 + 4m) + 6m = 8(3m + -2) + -7m (5 * 3 + 4m * 3) + 6m = 8(3m + -2) + -7m (15 + 12m) + 6m = 8(3m + -2) + -7m Combine like terms: 12m + 6m = 18m 15 + 18m = 8(3m + -2) + -7m Reorder the terms: 15 + 18m = 8(-2 + 3m) + -7m 15 + 18m = (-2 * 8 + 3m * 8) + -7m 15 + 18m = (-16 + 24m) + -7m Combine like terms: 24m + -7m = 17m 15 + 18m = -16 + 17m Solving 15 + 18m = -16 + 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. 15 + 18m + -17m = -16 + 17m + -17m Combine like terms: 18m + -17m = 1m 15 + 1m = -16 + 17m + -17m Combine like terms: 17m + -17m = 0 15 + 1m = -16 + 0 15 + 1m = -16 Add '-15' to each side of the equation. 15 + -15 + 1m = -16 + -15 Combine like terms: 15 + -15 = 0 0 + 1m = -16 + -15 1m = -16 + -15 Combine like terms: -16 + -15 = -31 1m = -31 Divide each side by '1'. m = -31 Simplifying m = -31
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