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Simplifying 3(m + 2) + 9 = 3(m + -2) + 6m Reorder the terms: 3(2 + m) + 9 = 3(m + -2) + 6m (2 * 3 + m * 3) + 9 = 3(m + -2) + 6m (6 + 3m) + 9 = 3(m + -2) + 6m Reorder the terms: 6 + 9 + 3m = 3(m + -2) + 6m Combine like terms: 6 + 9 = 15 15 + 3m = 3(m + -2) + 6m Reorder the terms: 15 + 3m = 3(-2 + m) + 6m 15 + 3m = (-2 * 3 + m * 3) + 6m 15 + 3m = (-6 + 3m) + 6m Combine like terms: 3m + 6m = 9m 15 + 3m = -6 + 9m Solving 15 + 3m = -6 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 15 + 3m + -9m = -6 + 9m + -9m Combine like terms: 3m + -9m = -6m 15 + -6m = -6 + 9m + -9m Combine like terms: 9m + -9m = 0 15 + -6m = -6 + 0 15 + -6m = -6 Add '-15' to each side of the equation. 15 + -15 + -6m = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -6m = -6 + -15 -6m = -6 + -15 Combine like terms: -6 + -15 = -21 -6m = -21 Divide each side by '-6'. m = 3.5 Simplifying m = 3.5
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