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Simplifying 4(3 + -1m) + 10 = 5(5 + -1m) (3 * 4 + -1m * 4) + 10 = 5(5 + -1m) (12 + -4m) + 10 = 5(5 + -1m) Reorder the terms: 12 + 10 + -4m = 5(5 + -1m) Combine like terms: 12 + 10 = 22 22 + -4m = 5(5 + -1m) 22 + -4m = (5 * 5 + -1m * 5) 22 + -4m = (25 + -5m) Solving 22 + -4m = 25 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 22 + -4m + 5m = 25 + -5m + 5m Combine like terms: -4m + 5m = 1m 22 + 1m = 25 + -5m + 5m Combine like terms: -5m + 5m = 0 22 + 1m = 25 + 0 22 + 1m = 25 Add '-22' to each side of the equation. 22 + -22 + 1m = 25 + -22 Combine like terms: 22 + -22 = 0 0 + 1m = 25 + -22 1m = 25 + -22 Combine like terms: 25 + -22 = 3 1m = 3 Divide each side by '1'. m = 3 Simplifying m = 3
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