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Simplifying 5m + 34 = -2(1 + -1m) Reorder the terms: 34 + 5m = -2(1 + -1m) 34 + 5m = (1 * -2 + -1m * -2) 34 + 5m = (-2 + 2m) Solving 34 + 5m = -2 + 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. 34 + 5m + -2m = -2 + 2m + -2m Combine like terms: 5m + -2m = 3m 34 + 3m = -2 + 2m + -2m Combine like terms: 2m + -2m = 0 34 + 3m = -2 + 0 34 + 3m = -2 Add '-34' to each side of the equation. 34 + -34 + 3m = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 3m = -2 + -34 3m = -2 + -34 Combine like terms: -2 + -34 = -36 3m = -36 Divide each side by '3'. m = -12 Simplifying m = -12
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