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Simplifying 5m + 6n + -12 + -3m + 3n = 0 Reorder the terms: -12 + 5m + -3m + 6n + 3n = 0 Combine like terms: 5m + -3m = 2m -12 + 2m + 6n + 3n = 0 Combine like terms: 6n + 3n = 9n -12 + 2m + 9n = 0 Solving -12 + 2m + 9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2m + 12 + 9n = 0 + 12 Reorder the terms: -12 + 12 + 2m + 9n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2m + 9n = 0 + 12 2m + 9n = 0 + 12 Combine like terms: 0 + 12 = 12 2m + 9n = 12 Add '-9n' to each side of the equation. 2m + 9n + -9n = 12 + -9n Combine like terms: 9n + -9n = 0 2m + 0 = 12 + -9n 2m = 12 + -9n Divide each side by '2'. m = 6 + -4.5n Simplifying m = 6 + -4.5n
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