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Simplifying 2(m + 3) = 3m + -15 + -8m Reorder the terms: 2(3 + m) = 3m + -15 + -8m (3 * 2 + m * 2) = 3m + -15 + -8m (6 + 2m) = 3m + -15 + -8m Reorder the terms: 6 + 2m = -15 + 3m + -8m Combine like terms: 3m + -8m = -5m 6 + 2m = -15 + -5m Solving 6 + 2m = -15 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 6 + 2m + 5m = -15 + -5m + 5m Combine like terms: 2m + 5m = 7m 6 + 7m = -15 + -5m + 5m Combine like terms: -5m + 5m = 0 6 + 7m = -15 + 0 6 + 7m = -15 Add '-6' to each side of the equation. 6 + -6 + 7m = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 7m = -15 + -6 7m = -15 + -6 Combine like terms: -15 + -6 = -21 7m = -21 Divide each side by '7'. m = -3 Simplifying m = -3
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