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Simplifying 3(4m + 5) + -2(m + -4) = 0 Reorder the terms: 3(5 + 4m) + -2(m + -4) = 0 (5 * 3 + 4m * 3) + -2(m + -4) = 0 (15 + 12m) + -2(m + -4) = 0 Reorder the terms: 15 + 12m + -2(-4 + m) = 0 15 + 12m + (-4 * -2 + m * -2) = 0 15 + 12m + (8 + -2m) = 0 Reorder the terms: 15 + 8 + 12m + -2m = 0 Combine like terms: 15 + 8 = 23 23 + 12m + -2m = 0 Combine like terms: 12m + -2m = 10m 23 + 10m = 0 Solving 23 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10m = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 10m = 0 + -23 10m = 0 + -23 Combine like terms: 0 + -23 = -23 10m = -23 Divide each side by '10'. m = -2.3 Simplifying m = -2.3
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