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Simplifying -3m + 8(1 + -4m) = 40 + -3m -3m + (1 * 8 + -4m * 8) = 40 + -3m -3m + (8 + -32m) = 40 + -3m Reorder the terms: 8 + -3m + -32m = 40 + -3m Combine like terms: -3m + -32m = -35m 8 + -35m = 40 + -3m Solving 8 + -35m = 40 + -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. 8 + -35m + 3m = 40 + -3m + 3m Combine like terms: -35m + 3m = -32m 8 + -32m = 40 + -3m + 3m Combine like terms: -3m + 3m = 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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