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Simplifying 3(2m + 9) + -4(m + -3) = 0 Reorder the terms: 3(9 + 2m) + -4(m + -3) = 0 (9 * 3 + 2m * 3) + -4(m + -3) = 0 (27 + 6m) + -4(m + -3) = 0 Reorder the terms: 27 + 6m + -4(-3 + m) = 0 27 + 6m + (-3 * -4 + m * -4) = 0 27 + 6m + (12 + -4m) = 0 Reorder the terms: 27 + 12 + 6m + -4m = 0 Combine like terms: 27 + 12 = 39 39 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m 39 + 2m = 0 Solving 39 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 2m = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 2m = 0 + -39 2m = 0 + -39 Combine like terms: 0 + -39 = -39 2m = -39 Divide each side by '2'. m = -19.5 Simplifying m = -19.5
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