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Simplifying 12 + 6n + -5m + 7n = 0 Reorder the terms: 12 + -5m + 6n + 7n = 0 Combine like terms: 6n + 7n = 13n 12 + -5m + 13n = 0 Solving 12 + -5m + 13n = 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 + -5m + -12 + 13n = 0 + -12 Reorder the terms: 12 + -12 + -5m + 13n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5m + 13n = 0 + -12 -5m + 13n = 0 + -12 Combine like terms: 0 + -12 = -12 -5m + 13n = -12 Add '-13n' to each side of the equation. -5m + 13n + -13n = -12 + -13n Combine like terms: 13n + -13n = 0 -5m + 0 = -12 + -13n -5m = -12 + -13n Divide each side by '-5'. m = 2.4 + 2.6n Simplifying m = 2.4 + 2.6n
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