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Simplifying -5m + 34 = 4(1 + -5m) Reorder the terms: 34 + -5m = 4(1 + -5m) 34 + -5m = (1 * 4 + -5m * 4) 34 + -5m = (4 + -20m) Solving 34 + -5m = 4 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 34 + -5m + 20m = 4 + -20m + 20m Combine like terms: -5m + 20m = 15m 34 + 15m = 4 + -20m + 20m Combine like terms: -20m + 20m = 0 34 + 15m = 4 + 0 34 + 15m = 4 Add '-34' to each side of the equation. 34 + -34 + 15m = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 15m = 4 + -34 15m = 4 + -34 Combine like terms: 4 + -34 = -30 15m = -30 Divide each side by '15'. m = -2 Simplifying m = -2
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