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Simplifying -3(m + -2) + 6m = 9(m + -1) Reorder the terms: -3(-2 + m) + 6m = 9(m + -1) (-2 * -3 + m * -3) + 6m = 9(m + -1) (6 + -3m) + 6m = 9(m + -1) Combine like terms: -3m + 6m = 3m 6 + 3m = 9(m + -1) Reorder the terms: 6 + 3m = 9(-1 + m) 6 + 3m = (-1 * 9 + m * 9) 6 + 3m = (-9 + 9m) Solving 6 + 3m = -9 + 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. 6 + 3m + -9m = -9 + 9m + -9m Combine like terms: 3m + -9m = -6m 6 + -6m = -9 + 9m + -9m Combine like terms: 9m + -9m = 0 6 + -6m = -9 + 0 6 + -6m = -9 Add '-6' to each side of the equation. 6 + -6 + -6m = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -6m = -9 + -6 -6m = -9 + -6 Combine like terms: -9 + -6 = -15 -6m = -15 Divide each side by '-6'. m = 2.5 Simplifying m = 2.5
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