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Simplifying -8(-5 + -4m) + 5(4m + 5) = -3m + 2 + 8 (-5 * -8 + -4m * -8) + 5(4m + 5) = -3m + 2 + 8 (40 + 32m) + 5(4m + 5) = -3m + 2 + 8 Reorder the terms: 40 + 32m + 5(5 + 4m) = -3m + 2 + 8 40 + 32m + (5 * 5 + 4m * 5) = -3m + 2 + 8 40 + 32m + (25 + 20m) = -3m + 2 + 8 Reorder the terms: 40 + 25 + 32m + 20m = -3m + 2 + 8 Combine like terms: 40 + 25 = 65 65 + 32m + 20m = -3m + 2 + 8 Combine like terms: 32m + 20m = 52m 65 + 52m = -3m + 2 + 8 Reorder the terms: 65 + 52m = 2 + 8 + -3m Combine like terms: 2 + 8 = 10 65 + 52m = 10 + -3m Solving 65 + 52m = 10 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 65 + 52m + 3m = 10 + -3m + 3m Combine like terms: 52m + 3m = 55m 65 + 55m = 10 + -3m + 3m Combine like terms: -3m + 3m = 0 65 + 55m = 10 + 0 65 + 55m = 10 Add '-65' to each side of the equation. 65 + -65 + 55m = 10 + -65 Combine like terms: 65 + -65 = 0 0 + 55m = 10 + -65 55m = 10 + -65 Combine like terms: 10 + -65 = -55 55m = -55 Divide each side by '55'. m = -1 Simplifying m = -1
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