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Simplifying -8(4m + 7) = 31 + -3m Reorder the terms: -8(7 + 4m) = 31 + -3m (7 * -8 + 4m * -8) = 31 + -3m (-56 + -32m) = 31 + -3m Solving -56 + -32m = 31 + -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. -56 + -32m + 3m = 31 + -3m + 3m Combine like terms: -32m + 3m = -29m -56 + -29m = 31 + -3m + 3m Combine like terms: -3m + 3m = 0 -56 + -29m = 31 + 0 -56 + -29m = 31 Add '56' to each side of the equation. -56 + 56 + -29m = 31 + 56 Combine like terms: -56 + 56 = 0 0 + -29m = 31 + 56 -29m = 31 + 56 Combine like terms: 31 + 56 = 87 -29m = 87 Divide each side by '-29'. m = -3 Simplifying m = -3
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