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Simplifying (6m + 4n + 5) * 3 = 0 Reorder the terms: (5 + 6m + 4n) * 3 = 0 Reorder the terms for easier multiplication: 3(5 + 6m + 4n) = 0 (5 * 3 + 6m * 3 + 4n * 3) = 0 (15 + 18m + 12n) = 0 Solving 15 + 18m + 12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 18m + -15 + 12n = 0 + -15 Reorder the terms: 15 + -15 + 18m + 12n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 18m + 12n = 0 + -15 18m + 12n = 0 + -15 Combine like terms: 0 + -15 = -15 18m + 12n = -15 Add '-12n' to each side of the equation. 18m + 12n + -12n = -15 + -12n Combine like terms: 12n + -12n = 0 18m + 0 = -15 + -12n 18m = -15 + -12n Divide each side by '18'. m = -0.8333333333 + -0.6666666667n Simplifying m = -0.8333333333 + -0.6666666667n
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