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Simplifying 12 + -1(2m + 5) = 5 + 2m + -14 Reorder the terms: 12 + -1(5 + 2m) = 5 + 2m + -14 12 + (5 * -1 + 2m * -1) = 5 + 2m + -14 12 + (-5 + -2m) = 5 + 2m + -14 Combine like terms: 12 + -5 = 7 7 + -2m = 5 + 2m + -14 Reorder the terms: 7 + -2m = 5 + -14 + 2m Combine like terms: 5 + -14 = -9 7 + -2m = -9 + 2m Solving 7 + -2m = -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. 7 + -2m + -2m = -9 + 2m + -2m Combine like terms: -2m + -2m = -4m 7 + -4m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -4m = -9 + 0 7 + -4m = -9 Add '-7' to each side of the equation. 7 + -7 + -4m = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = -9 + -7 -4m = -9 + -7 Combine like terms: -9 + -7 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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