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Simplifying 2(4m + 3) + -3(m + -6) = 0 Reorder the terms: 2(3 + 4m) + -3(m + -6) = 0 (3 * 2 + 4m * 2) + -3(m + -6) = 0 (6 + 8m) + -3(m + -6) = 0 Reorder the terms: 6 + 8m + -3(-6 + m) = 0 6 + 8m + (-6 * -3 + m * -3) = 0 6 + 8m + (18 + -3m) = 0 Reorder the terms: 6 + 18 + 8m + -3m = 0 Combine like terms: 6 + 18 = 24 24 + 8m + -3m = 0 Combine like terms: 8m + -3m = 5m 24 + 5m = 0 Solving 24 + 5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5m = 0 + -24 5m = 0 + -24 Combine like terms: 0 + -24 = -24 5m = -24 Divide each side by '5'. m = -4.8 Simplifying m = -4.8
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