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Simplifying 49 = -1(m + 1) + 2(5m + -2) Reorder the terms: 49 = -1(1 + m) + 2(5m + -2) 49 = (1 * -1 + m * -1) + 2(5m + -2) 49 = (-1 + -1m) + 2(5m + -2) Reorder the terms: 49 = -1 + -1m + 2(-2 + 5m) 49 = -1 + -1m + (-2 * 2 + 5m * 2) 49 = -1 + -1m + (-4 + 10m) Reorder the terms: 49 = -1 + -4 + -1m + 10m Combine like terms: -1 + -4 = -5 49 = -5 + -1m + 10m Combine like terms: -1m + 10m = 9m 49 = -5 + 9m Solving 49 = -5 + 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. 49 + -9m = -5 + 9m + -9m Combine like terms: 9m + -9m = 0 49 + -9m = -5 + 0 49 + -9m = -5 Add '-49' to each side of the equation. 49 + -49 + -9m = -5 + -49 Combine like terms: 49 + -49 = 0 0 + -9m = -5 + -49 -9m = -5 + -49 Combine like terms: -5 + -49 = -54 -9m = -54 Divide each side by '-9'. m = 6 Simplifying m = 6
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