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Simplifying 3(3m + 3) = 4(5m + -2) + 6 Reorder the terms: 3(3 + 3m) = 4(5m + -2) + 6 (3 * 3 + 3m * 3) = 4(5m + -2) + 6 (9 + 9m) = 4(5m + -2) + 6 Reorder the terms: 9 + 9m = 4(-2 + 5m) + 6 9 + 9m = (-2 * 4 + 5m * 4) + 6 9 + 9m = (-8 + 20m) + 6 Reorder the terms: 9 + 9m = -8 + 6 + 20m Combine like terms: -8 + 6 = -2 9 + 9m = -2 + 20m Solving 9 + 9m = -2 + 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. 9 + 9m + -20m = -2 + 20m + -20m Combine like terms: 9m + -20m = -11m 9 + -11m = -2 + 20m + -20m Combine like terms: 20m + -20m = 0 9 + -11m = -2 + 0 9 + -11m = -2 Add '-9' to each side of the equation. 9 + -9 + -11m = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -11m = -2 + -9 -11m = -2 + -9 Combine like terms: -2 + -9 = -11 -11m = -11 Divide each side by '-11'. m = 1 Simplifying m = 1
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