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Simplifying 5(m + 4) + -2(m + -6) = 30 Reorder the terms: 5(4 + m) + -2(m + -6) = 30 (4 * 5 + m * 5) + -2(m + -6) = 30 (20 + 5m) + -2(m + -6) = 30 Reorder the terms: 20 + 5m + -2(-6 + m) = 30 20 + 5m + (-6 * -2 + m * -2) = 30 20 + 5m + (12 + -2m) = 30 Reorder the terms: 20 + 12 + 5m + -2m = 30 Combine like terms: 20 + 12 = 32 32 + 5m + -2m = 30 Combine like terms: 5m + -2m = 3m 32 + 3m = 30 Solving 32 + 3m = 30 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3m = 30 + -32 Combine like terms: 32 + -32 = 0 0 + 3m = 30 + -32 3m = 30 + -32 Combine like terms: 30 + -32 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667
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