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Simplifying 3(m + 5) = 6 + -3(m + 3) Reorder the terms: 3(5 + m) = 6 + -3(m + 3) (5 * 3 + m * 3) = 6 + -3(m + 3) (15 + 3m) = 6 + -3(m + 3) Reorder the terms: 15 + 3m = 6 + -3(3 + m) 15 + 3m = 6 + (3 * -3 + m * -3) 15 + 3m = 6 + (-9 + -3m) Combine like terms: 6 + -9 = -3 15 + 3m = -3 + -3m Solving 15 + 3m = -3 + -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 = -3 + -3m + 3m Combine like terms: 3m + 3m = 6m 15 + 6m = -3 + -3m + 3m Combine like terms: -3m + 3m = 0 15 + 6m = -3 + 0 15 + 6m = -3 Add '-15' to each side of the equation. 15 + -15 + 6m = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 6m = -3 + -15 6m = -3 + -15 Combine like terms: -3 + -15 = -18 6m = -18 Divide each side by '6'. m = -3 Simplifying m = -3
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