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Simplifying 12 + -1(5m + 7) = 3 + 2m + -12 Reorder the terms: 12 + -1(7 + 5m) = 3 + 2m + -12 12 + (7 * -1 + 5m * -1) = 3 + 2m + -12 12 + (-7 + -5m) = 3 + 2m + -12 Combine like terms: 12 + -7 = 5 5 + -5m = 3 + 2m + -12 Reorder the terms: 5 + -5m = 3 + -12 + 2m Combine like terms: 3 + -12 = -9 5 + -5m = -9 + 2m Solving 5 + -5m = -9 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 5 + -5m + -2m = -9 + 2m + -2m Combine like terms: -5m + -2m = -7m 5 + -7m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + -7m = -9 + 0 5 + -7m = -9 Add '-5' to each side of the equation. 5 + -5 + -7m = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -7m = -9 + -5 -7m = -9 + -5 Combine like terms: -9 + -5 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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