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Simplifying 2m + -2(6 + -3m) = 9m + -7 2m + (6 * -2 + -3m * -2) = 9m + -7 2m + (-12 + 6m) = 9m + -7 Reorder the terms: -12 + 2m + 6m = 9m + -7 Combine like terms: 2m + 6m = 8m -12 + 8m = 9m + -7 Reorder the terms: -12 + 8m = -7 + 9m Solving -12 + 8m = -7 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -12 + 8m + -9m = -7 + 9m + -9m Combine like terms: 8m + -9m = -1m -12 + -1m = -7 + 9m + -9m Combine like terms: 9m + -9m = 0 -12 + -1m = -7 + 0 -12 + -1m = -7 Add '12' to each side of the equation. -12 + 12 + -1m = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -1m = -7 + 12 -1m = -7 + 12 Combine like terms: -7 + 12 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5
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