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Simplifying 3(2 + -3m) + -5(4 + -5m) = 11m + 6 (2 * 3 + -3m * 3) + -5(4 + -5m) = 11m + 6 (6 + -9m) + -5(4 + -5m) = 11m + 6 6 + -9m + (4 * -5 + -5m * -5) = 11m + 6 6 + -9m + (-20 + 25m) = 11m + 6 Reorder the terms: 6 + -20 + -9m + 25m = 11m + 6 Combine like terms: 6 + -20 = -14 -14 + -9m + 25m = 11m + 6 Combine like terms: -9m + 25m = 16m -14 + 16m = 11m + 6 Reorder the terms: -14 + 16m = 6 + 11m Solving -14 + 16m = 6 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -14 + 16m + -11m = 6 + 11m + -11m Combine like terms: 16m + -11m = 5m -14 + 5m = 6 + 11m + -11m Combine like terms: 11m + -11m = 0 -14 + 5m = 6 + 0 -14 + 5m = 6 Add '14' to each side of the equation. -14 + 14 + 5m = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5m = 6 + 14 5m = 6 + 14 Combine like terms: 6 + 14 = 20 5m = 20 Divide each side by '5'. m = 4 Simplifying m = 4
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