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Simplifying 3(3m + 4) + -4(4m + -5) = 0 Reorder the terms: 3(4 + 3m) + -4(4m + -5) = 0 (4 * 3 + 3m * 3) + -4(4m + -5) = 0 (12 + 9m) + -4(4m + -5) = 0 Reorder the terms: 12 + 9m + -4(-5 + 4m) = 0 12 + 9m + (-5 * -4 + 4m * -4) = 0 12 + 9m + (20 + -16m) = 0 Reorder the terms: 12 + 20 + 9m + -16m = 0 Combine like terms: 12 + 20 = 32 32 + 9m + -16m = 0 Combine like terms: 9m + -16m = -7m 32 + -7m = 0 Solving 32 + -7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -7m = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -7m = 0 + -32 -7m = 0 + -32 Combine like terms: 0 + -32 = -32 -7m = -32 Divide each side by '-7'. m = 4.571428571 Simplifying m = 4.571428571
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