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Simplifying 7n + 8m + -12 + -1n + -5m + 4 = 0 Reorder the terms: -12 + 4 + 8m + -5m + 7n + -1n = 0 Combine like terms: -12 + 4 = -8 -8 + 8m + -5m + 7n + -1n = 0 Combine like terms: 8m + -5m = 3m -8 + 3m + 7n + -1n = 0 Combine like terms: 7n + -1n = 6n -8 + 3m + 6n = 0 Solving -8 + 3m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3m + 8 + 6n = 0 + 8 Reorder the terms: -8 + 8 + 3m + 6n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3m + 6n = 0 + 8 3m + 6n = 0 + 8 Combine like terms: 0 + 8 = 8 3m + 6n = 8 Add '-6n' to each side of the equation. 3m + 6n + -6n = 8 + -6n Combine like terms: 6n + -6n = 0 3m + 0 = 8 + -6n 3m = 8 + -6n Divide each side by '3'. m = 2.666666667 + -2n Simplifying m = 2.666666667 + -2n
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