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Simplifying (6m + -12n + -5)(-9) = 0 Reorder the terms: (-5 + 6m + -12n)(-9) = 0 Reorder the terms for easier multiplication: -9(-5 + 6m + -12n) = 0 (-5 * -9 + 6m * -9 + -12n * -9) = 0 (45 + -54m + 108n) = 0 Solving 45 + -54m + 108n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -54m + -45 + 108n = 0 + -45 Reorder the terms: 45 + -45 + -54m + 108n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -54m + 108n = 0 + -45 -54m + 108n = 0 + -45 Combine like terms: 0 + -45 = -45 -54m + 108n = -45 Add '-108n' to each side of the equation. -54m + 108n + -108n = -45 + -108n Combine like terms: 108n + -108n = 0 -54m + 0 = -45 + -108n -54m = -45 + -108n Divide each side by '-54'. m = 0.8333333333 + 2n Simplifying m = 0.8333333333 + 2n
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