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Simplifying 12 + -1(3m + 6) = 5 + 4m + -13 Reorder the terms: 12 + -1(6 + 3m) = 5 + 4m + -13 12 + (6 * -1 + 3m * -1) = 5 + 4m + -13 12 + (-6 + -3m) = 5 + 4m + -13 Combine like terms: 12 + -6 = 6 6 + -3m = 5 + 4m + -13 Reorder the terms: 6 + -3m = 5 + -13 + 4m Combine like terms: 5 + -13 = -8 6 + -3m = -8 + 4m Solving 6 + -3m = -8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 6 + -3m + -4m = -8 + 4m + -4m Combine like terms: -3m + -4m = -7m 6 + -7m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 6 + -7m = -8 + 0 6 + -7m = -8 Add '-6' to each side of the equation. 6 + -6 + -7m = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = -8 + -6 -7m = -8 + -6 Combine like terms: -8 + -6 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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