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Simplifying -4(8m + 1) = 7(5 + -4m) + -1m Reorder the terms: -4(1 + 8m) = 7(5 + -4m) + -1m (1 * -4 + 8m * -4) = 7(5 + -4m) + -1m (-4 + -32m) = 7(5 + -4m) + -1m -4 + -32m = (5 * 7 + -4m * 7) + -1m -4 + -32m = (35 + -28m) + -1m Combine like terms: -28m + -1m = -29m -4 + -32m = 35 + -29m Solving -4 + -32m = 35 + -29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29m' to each side of the equation. -4 + -32m + 29m = 35 + -29m + 29m Combine like terms: -32m + 29m = -3m -4 + -3m = 35 + -29m + 29m Combine like terms: -29m + 29m = 0 -4 + -3m = 35 + 0 -4 + -3m = 35 Add '4' to each side of the equation. -4 + 4 + -3m = 35 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 35 + 4 -3m = 35 + 4 Combine like terms: 35 + 4 = 39 -3m = 39 Divide each side by '-3'. m = -13 Simplifying m = -13
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