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Simplifying 3(2m + 3) + -4(m + -2) = 0 Reorder the terms: 3(3 + 2m) + -4(m + -2) = 0 (3 * 3 + 2m * 3) + -4(m + -2) = 0 (9 + 6m) + -4(m + -2) = 0 Reorder the terms: 9 + 6m + -4(-2 + m) = 0 9 + 6m + (-2 * -4 + m * -4) = 0 9 + 6m + (8 + -4m) = 0 Reorder the terms: 9 + 8 + 6m + -4m = 0 Combine like terms: 9 + 8 = 17 17 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m 17 + 2m = 0 Solving 17 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2m = 0 + -17 2m = 0 + -17 Combine like terms: 0 + -17 = -17 2m = -17 Divide each side by '2'. m = -8.5 Simplifying m = -8.5
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