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Simplifying -3(m + 6) + -6m = 3m + 2(6 + 9m) Reorder the terms: -3(6 + m) + -6m = 3m + 2(6 + 9m) (6 * -3 + m * -3) + -6m = 3m + 2(6 + 9m) (-18 + -3m) + -6m = 3m + 2(6 + 9m) Combine like terms: -3m + -6m = -9m -18 + -9m = 3m + 2(6 + 9m) -18 + -9m = 3m + (6 * 2 + 9m * 2) -18 + -9m = 3m + (12 + 18m) Reorder the terms: -18 + -9m = 12 + 3m + 18m Combine like terms: 3m + 18m = 21m -18 + -9m = 12 + 21m Solving -18 + -9m = 12 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. -18 + -9m + -21m = 12 + 21m + -21m Combine like terms: -9m + -21m = -30m -18 + -30m = 12 + 21m + -21m Combine like terms: 21m + -21m = 0 -18 + -30m = 12 + 0 -18 + -30m = 12 Add '18' to each side of the equation. -18 + 18 + -30m = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -30m = 12 + 18 -30m = 12 + 18 Combine like terms: 12 + 18 = 30 -30m = 30 Divide each side by '-30'. m = -1 Simplifying m = -1
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