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Simplifying 10m + 12n + -5m + n + 5 = 0 Reorder the terms: 5 + 10m + -5m + 12n + n = 0 Combine like terms: 10m + -5m = 5m 5 + 5m + 12n + n = 0 Combine like terms: 12n + n = 13n 5 + 5m + 13n = 0 Solving 5 + 5m + 13n = 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 + 13n = 0 + -5 Reorder the terms: 5 + -5 + 5m + 13n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5m + 13n = 0 + -5 5m + 13n = 0 + -5 Combine like terms: 0 + -5 = -5 5m + 13n = -5 Add '-13n' to each side of the equation. 5m + 13n + -13n = -5 + -13n Combine like terms: 13n + -13n = 0 5m + 0 = -5 + -13n 5m = -5 + -13n Divide each side by '5'. m = -1 + -2.6n Simplifying m = -1 + -2.6n
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