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Simplifying 7m + -3n + 8 + -5m + 8n + -12 = 0 Reorder the terms: 8 + -12 + 7m + -5m + -3n + 8n = 0 Combine like terms: 8 + -12 = -4 -4 + 7m + -5m + -3n + 8n = 0 Combine like terms: 7m + -5m = 2m -4 + 2m + -3n + 8n = 0 Combine like terms: -3n + 8n = 5n -4 + 2m + 5n = 0 Solving -4 + 2m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2m + 4 + 5n = 0 + 4 Reorder the terms: -4 + 4 + 2m + 5n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2m + 5n = 0 + 4 2m + 5n = 0 + 4 Combine like terms: 0 + 4 = 4 2m + 5n = 4 Add '-5n' to each side of the equation. 2m + 5n + -5n = 4 + -5n Combine like terms: 5n + -5n = 0 2m + 0 = 4 + -5n 2m = 4 + -5n Divide each side by '2'. m = 2 + -2.5n Simplifying m = 2 + -2.5n
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