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Simplifying -8m + -1(2(12 + -3m) + 9) = 9m -8m + -1((12 * 2 + -3m * 2) + 9) = 9m -8m + -1((24 + -6m) + 9) = 9m Reorder the terms: -8m + -1(24 + 9 + -6m) = 9m Combine like terms: 24 + 9 = 33 -8m + -1(33 + -6m) = 9m -8m + (33 * -1 + -6m * -1) = 9m -8m + (-33 + 6m) = 9m Reorder the terms: -33 + -8m + 6m = 9m Combine like terms: -8m + 6m = -2m -33 + -2m = 9m Solving -33 + -2m = 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. -33 + -2m + -9m = 9m + -9m Combine like terms: -2m + -9m = -11m -33 + -11m = 9m + -9m Combine like terms: 9m + -9m = 0 -33 + -11m = 0 Add '33' to each side of the equation. -33 + 33 + -11m = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -11m = 0 + 33 -11m = 0 + 33 Combine like terms: 0 + 33 = 33 -11m = 33 Divide each side by '-11'. m = -3 Simplifying m = -3
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