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Simplifying 8m + n + 6m + 14n = 0 Reorder the terms: 8m + 6m + n + 14n = 0 Combine like terms: 8m + 6m = 14m 14m + n + 14n = 0 Combine like terms: n + 14n = 15n 14m + 15n = 0 Solving 14m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15n' to each side of the equation. 14m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 14m + 0 = 0 + -15n 14m = 0 + -15n Remove the zero: 14m = -15n Divide each side by '14'. m = -1.071428571n Simplifying m = -1.071428571n
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