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Simplifying -1(6m + 9) = -12 + -3(3 + -2m) Reorder the terms: -1(9 + 6m) = -12 + -3(3 + -2m) (9 * -1 + 6m * -1) = -12 + -3(3 + -2m) (-9 + -6m) = -12 + -3(3 + -2m) -9 + -6m = -12 + (3 * -3 + -2m * -3) -9 + -6m = -12 + (-9 + 6m) Combine like terms: -12 + -9 = -21 -9 + -6m = -21 + 6m Solving -9 + -6m = -21 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -9 + -6m + -6m = -21 + 6m + -6m Combine like terms: -6m + -6m = -12m -9 + -12m = -21 + 6m + -6m Combine like terms: 6m + -6m = 0 -9 + -12m = -21 + 0 -9 + -12m = -21 Add '9' to each side of the equation. -9 + 9 + -12m = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -12m = -21 + 9 -12m = -21 + 9 Combine like terms: -21 + 9 = -12 -12m = -12 Divide each side by '-12'. m = 1 Simplifying m = 1
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