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Simplifying 4(1 + -1m) + 7 = 3(2 + -1m) (1 * 4 + -1m * 4) + 7 = 3(2 + -1m) (4 + -4m) + 7 = 3(2 + -1m) Reorder the terms: 4 + 7 + -4m = 3(2 + -1m) Combine like terms: 4 + 7 = 11 11 + -4m = 3(2 + -1m) 11 + -4m = (2 * 3 + -1m * 3) 11 + -4m = (6 + -3m) Solving 11 + -4m = 6 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 11 + -4m + 3m = 6 + -3m + 3m Combine like terms: -4m + 3m = -1m 11 + -1m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 11 + -1m = 6 + 0 11 + -1m = 6 Add '-11' to each side of the equation. 11 + -11 + -1m = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 6 + -11 -1m = 6 + -11 Combine like terms: 6 + -11 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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