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Simplifying 3(m + 5) + -6m = 3(m + 3) Reorder the terms: 3(5 + m) + -6m = 3(m + 3) (5 * 3 + m * 3) + -6m = 3(m + 3) (15 + 3m) + -6m = 3(m + 3) Combine like terms: 3m + -6m = -3m 15 + -3m = 3(m + 3) Reorder the terms: 15 + -3m = 3(3 + m) 15 + -3m = (3 * 3 + m * 3) 15 + -3m = (9 + 3m) Solving 15 + -3m = 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 + -3m + -3m = 9 + 3m + -3m Combine like terms: -3m + -3m = -6m 15 + -6m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 15 + -6m = 9 + 0 15 + -6m = 9 Add '-15' to each side of the equation. 15 + -15 + -6m = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -6m = 9 + -15 -6m = 9 + -15 Combine like terms: 9 + -15 = -6 -6m = -6 Divide each side by '-6'. m = 1 Simplifying m = 1
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