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Simplifying 10m + n + 7m + 13n = 0 Reorder the terms: 10m + 7m + n + 13n = 0 Combine like terms: 10m + 7m = 17m 17m + n + 13n = 0 Combine like terms: n + 13n = 14n 17m + 14n = 0 Solving 17m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14n' to each side of the equation. 17m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 17m + 0 = 0 + -14n 17m = 0 + -14n Remove the zero: 17m = -14n Divide each side by '17'. m = -0.8235294118n Simplifying m = -0.8235294118n
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