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Simplifying 6(7n + -5m) + 3m = 0 Reorder the terms: 6(-5m + 7n) + 3m = 0 (-5m * 6 + 7n * 6) + 3m = 0 (-30m + 42n) + 3m = 0 Reorder the terms: -30m + 3m + 42n = 0 Combine like terms: -30m + 3m = -27m -27m + 42n = 0 Solving -27m + 42n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42n' to each side of the equation. -27m + 42n + -42n = 0 + -42n Combine like terms: 42n + -42n = 0 -27m + 0 = 0 + -42n -27m = 0 + -42n Remove the zero: -27m = -42n Divide each side by '-27'. m = 1.555555556n Simplifying m = 1.555555556n
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