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