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Simplifying -8(1 + 5m) = -40 + -8m (1 * -8 + 5m * -8) = -40 + -8m (-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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