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Simplifying 5m + -2n + 8 + -2m + -6n + 4 = 0 Reorder the terms: 8 + 4 + 5m + -2m + -2n + -6n = 0 Combine like terms: 8 + 4 = 12 12 + 5m + -2m + -2n + -6n = 0 Combine like terms: 5m + -2m = 3m 12 + 3m + -2n + -6n = 0 Combine like terms: -2n + -6n = -8n 12 + 3m + -8n = 0 Solving 12 + 3m + -8n = 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 + 3m + -12 + -8n = 0 + -12 Reorder the terms: 12 + -12 + 3m + -8n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3m + -8n = 0 + -12 3m + -8n = 0 + -12 Combine like terms: 0 + -12 = -12 3m + -8n = -12 Add '8n' to each side of the equation. 3m + -8n + 8n = -12 + 8n Combine like terms: -8n + 8n = 0 3m + 0 = -12 + 8n 3m = -12 + 8n Divide each side by '3'. m = -4 + 2.666666667n Simplifying m = -4 + 2.666666667n
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