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Simplifying 5(m + 9) = 1 + -1(75 + 2m) Reorder the terms: 5(9 + m) = 1 + -1(75 + 2m) (9 * 5 + m * 5) = 1 + -1(75 + 2m) (45 + 5m) = 1 + -1(75 + 2m) 45 + 5m = 1 + (75 * -1 + 2m * -1) 45 + 5m = 1 + (-75 + -2m) Combine like terms: 1 + -75 = -74 45 + 5m = -74 + -2m Solving 45 + 5m = -74 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 45 + 5m + 2m = -74 + -2m + 2m Combine like terms: 5m + 2m = 7m 45 + 7m = -74 + -2m + 2m Combine like terms: -2m + 2m = 0 45 + 7m = -74 + 0 45 + 7m = -74 Add '-45' to each side of the equation. 45 + -45 + 7m = -74 + -45 Combine like terms: 45 + -45 = 0 0 + 7m = -74 + -45 7m = -74 + -45 Combine like terms: -74 + -45 = -119 7m = -119 Divide each side by '7'. m = -17 Simplifying m = -17
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