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Simplifying 12m + 5n + -2m + 8n = 0 Reorder the terms: 12m + -2m + 5n + 8n = 0 Combine like terms: 12m + -2m = 10m 10m + 5n + 8n = 0 Combine like terms: 5n + 8n = 13n 10m + 13n = 0 Solving 10m + 13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13n' to each side of the equation. 10m + 13n + -13n = 0 + -13n Combine like terms: 13n + -13n = 0 10m + 0 = 0 + -13n 10m = 0 + -13n Remove the zero: 10m = -13n Divide each side by '10'. m = -1.3n Simplifying m = -1.3n
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