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Simplifying 12 + -1(5m + 3) = 5 + -12m + -17 Reorder the terms: 12 + -1(3 + 5m) = 5 + -12m + -17 12 + (3 * -1 + 5m * -1) = 5 + -12m + -17 12 + (-3 + -5m) = 5 + -12m + -17 Combine like terms: 12 + -3 = 9 9 + -5m = 5 + -12m + -17 Reorder the terms: 9 + -5m = 5 + -17 + -12m Combine like terms: 5 + -17 = -12 9 + -5m = -12 + -12m Solving 9 + -5m = -12 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 9 + -5m + 12m = -12 + -12m + 12m Combine like terms: -5m + 12m = 7m 9 + 7m = -12 + -12m + 12m Combine like terms: -12m + 12m = 0 9 + 7m = -12 + 0 9 + 7m = -12 Add '-9' to each side of the equation. 9 + -9 + 7m = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 7m = -12 + -9 7m = -12 + -9 Combine like terms: -12 + -9 = -21 7m = -21 Divide each side by '7'. m = -3 Simplifying m = -3
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