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Simplifying 4(2m + 6) + 3(3m + 5m) = 0 Reorder the terms: 4(6 + 2m) + 3(3m + 5m) = 0 (6 * 4 + 2m * 4) + 3(3m + 5m) = 0 (24 + 8m) + 3(3m + 5m) = 0 Combine like terms: 3m + 5m = 8m 24 + 8m + 3(8m) = 0 Remove parenthesis around (8m) 24 + 8m + 3 * 8m = 0 Multiply 3 * 8 24 + 8m + 24m = 0 Combine like terms: 8m + 24m = 32m 24 + 32m = 0 Solving 24 + 32m = 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 + 32m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 32m = 0 + -24 32m = 0 + -24 Combine like terms: 0 + -24 = -24 32m = -24 Divide each side by '32'. m = -0.75 Simplifying m = -0.75
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