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Simplifying 79 = 5m + 7(-2m + 1) Reorder the terms: 79 = 5m + 7(1 + -2m) 79 = 5m + (1 * 7 + -2m * 7) 79 = 5m + (7 + -14m) Reorder the terms: 79 = 7 + 5m + -14m Combine like terms: 5m + -14m = -9m 79 = 7 + -9m Solving 79 = 7 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 79 + 9m = 7 + -9m + 9m Combine like terms: -9m + 9m = 0 79 + 9m = 7 + 0 79 + 9m = 7 Add '-79' to each side of the equation. 79 + -79 + 9m = 7 + -79 Combine like terms: 79 + -79 = 0 0 + 9m = 7 + -79 9m = 7 + -79 Combine like terms: 7 + -79 = -72 9m = -72 Divide each side by '9'. m = -8 Simplifying m = -8
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