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Simplifying 11(3m + 1) = 5(1 + 5m) + -2 Reorder the terms: 11(1 + 3m) = 5(1 + 5m) + -2 (1 * 11 + 3m * 11) = 5(1 + 5m) + -2 (11 + 33m) = 5(1 + 5m) + -2 11 + 33m = (1 * 5 + 5m * 5) + -2 11 + 33m = (5 + 25m) + -2 Reorder the terms: 11 + 33m = 5 + -2 + 25m Combine like terms: 5 + -2 = 3 11 + 33m = 3 + 25m Solving 11 + 33m = 3 + 25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25m' to each side of the equation. 11 + 33m + -25m = 3 + 25m + -25m Combine like terms: 33m + -25m = 8m 11 + 8m = 3 + 25m + -25m Combine like terms: 25m + -25m = 0 11 + 8m = 3 + 0 11 + 8m = 3 Add '-11' to each side of the equation. 11 + -11 + 8m = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 8m = 3 + -11 8m = 3 + -11 Combine like terms: 3 + -11 = -8 8m = -8 Divide each side by '8'. m = -1 Simplifying m = -1
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