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Simplifying 5(8 + 2m) + 4 = -40 + -2m (8 * 5 + 2m * 5) + 4 = -40 + -2m (40 + 10m) + 4 = -40 + -2m Reorder the terms: 40 + 4 + 10m = -40 + -2m Combine like terms: 40 + 4 = 44 44 + 10m = -40 + -2m Solving 44 + 10m = -40 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 44 + 10m + 2m = -40 + -2m + 2m Combine like terms: 10m + 2m = 12m 44 + 12m = -40 + -2m + 2m Combine like terms: -2m + 2m = 0 44 + 12m = -40 + 0 44 + 12m = -40 Add '-44' to each side of the equation. 44 + -44 + 12m = -40 + -44 Combine like terms: 44 + -44 = 0 0 + 12m = -40 + -44 12m = -40 + -44 Combine like terms: -40 + -44 = -84 12m = -84 Divide each side by '12'. m = -7 Simplifying m = -7
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