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Simplifying 2m + 40 = -6(1 + -8m) Reorder the terms: 40 + 2m = -6(1 + -8m) 40 + 2m = (1 * -6 + -8m * -6) 40 + 2m = (-6 + 48m) Solving 40 + 2m = -6 + 48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. 40 + 2m + -48m = -6 + 48m + -48m Combine like terms: 2m + -48m = -46m 40 + -46m = -6 + 48m + -48m Combine like terms: 48m + -48m = 0 40 + -46m = -6 + 0 40 + -46m = -6 Add '-40' to each side of the equation. 40 + -40 + -46m = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -46m = -6 + -40 -46m = -6 + -40 Combine like terms: -6 + -40 = -46 -46m = -46 Divide each side by '-46'. m = 1 Simplifying m = 1
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