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Simplifying 2m + 3(1 + 5m) = 7(-5 + -3m) 2m + (1 * 3 + 5m * 3) = 7(-5 + -3m) 2m + (3 + 15m) = 7(-5 + -3m) Reorder the terms: 3 + 2m + 15m = 7(-5 + -3m) Combine like terms: 2m + 15m = 17m 3 + 17m = 7(-5 + -3m) 3 + 17m = (-5 * 7 + -3m * 7) 3 + 17m = (-35 + -21m) Solving 3 + 17m = -35 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. 3 + 17m + 21m = -35 + -21m + 21m Combine like terms: 17m + 21m = 38m 3 + 38m = -35 + -21m + 21m Combine like terms: -21m + 21m = 0 3 + 38m = -35 + 0 3 + 38m = -35 Add '-3' to each side of the equation. 3 + -3 + 38m = -35 + -3 Combine like terms: 3 + -3 = 0 0 + 38m = -35 + -3 38m = -35 + -3 Combine like terms: -35 + -3 = -38 38m = -38 Divide each side by '38'. m = -1 Simplifying m = -1
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