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Simplifying 7m + 5(1 + 2m) = 8m + -40 7m + (1 * 5 + 2m * 5) = 8m + -40 7m + (5 + 10m) = 8m + -40 Reorder the terms: 5 + 7m + 10m = 8m + -40 Combine like terms: 7m + 10m = 17m 5 + 17m = 8m + -40 Reorder the terms: 5 + 17m = -40 + 8m Solving 5 + 17m = -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. 5 + 17m + -8m = -40 + 8m + -8m Combine like terms: 17m + -8m = 9m 5 + 9m = -40 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + 9m = -40 + 0 5 + 9m = -40 Add '-5' to each side of the equation. 5 + -5 + 9m = -40 + -5 Combine like terms: 5 + -5 = 0 0 + 9m = -40 + -5 9m = -40 + -5 Combine like terms: -40 + -5 = -45 9m = -45 Divide each side by '9'. m = -5 Simplifying m = -5
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