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Simplifying 12m + n + -7m + 3n + 5 = 0 Reorder the terms: 5 + 12m + -7m + n + 3n = 0 Combine like terms: 12m + -7m = 5m 5 + 5m + n + 3n = 0 Combine like terms: n + 3n = 4n 5 + 5m + 4n = 0 Solving 5 + 5m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5m + -5 + 4n = 0 + -5 Reorder the terms: 5 + -5 + 5m + 4n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5m + 4n = 0 + -5 5m + 4n = 0 + -5 Combine like terms: 0 + -5 = -5 5m + 4n = -5 Add '-4n' to each side of the equation. 5m + 4n + -4n = -5 + -4n Combine like terms: 4n + -4n = 0 5m + 0 = -5 + -4n 5m = -5 + -4n Divide each side by '5'. m = -1 + -0.8n Simplifying m = -1 + -0.8n
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