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Simplifying 3m + 15 = -6(m + 5) Reorder the terms: 15 + 3m = -6(m + 5) Reorder the terms: 15 + 3m = -6(5 + m) 15 + 3m = (5 * -6 + m * -6) 15 + 3m = (-30 + -6m) Solving 15 + 3m = -30 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 15 + 3m + 6m = -30 + -6m + 6m Combine like terms: 3m + 6m = 9m 15 + 9m = -30 + -6m + 6m Combine like terms: -6m + 6m = 0 15 + 9m = -30 + 0 15 + 9m = -30 Add '-15' to each side of the equation. 15 + -15 + 9m = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 9m = -30 + -15 9m = -30 + -15 Combine like terms: -30 + -15 = -45 9m = -45 Divide each side by '9'. m = -5 Simplifying m = -5
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