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Simplifying 3(-2m + 5) = -4m + 9 + m Reorder the terms: 3(5 + -2m) = -4m + 9 + m (5 * 3 + -2m * 3) = -4m + 9 + m (15 + -6m) = -4m + 9 + m Reorder the terms: 15 + -6m = 9 + -4m + m Combine like terms: -4m + m = -3m 15 + -6m = 9 + -3m Solving 15 + -6m = 9 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 15 + -6m + 3m = 9 + -3m + 3m Combine like terms: -6m + 3m = -3m 15 + -3m = 9 + -3m + 3m Combine like terms: -3m + 3m = 0 15 + -3m = 9 + 0 15 + -3m = 9 Add '-15' to each side of the equation. 15 + -15 + -3m = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3m = 9 + -15 -3m = 9 + -15 Combine like terms: 9 + -15 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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