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Simplifying 4m + 8n + -6(5m + -7n) = 0 4m + 8n + (5m * -6 + -7n * -6) = 0 4m + 8n + (-30m + 42n) = 0 Reorder the terms: 4m + -30m + 8n + 42n = 0 Combine like terms: 4m + -30m = -26m -26m + 8n + 42n = 0 Combine like terms: 8n + 42n = 50n -26m + 50n = 0 Solving -26m + 50n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-50n' to each side of the equation. -26m + 50n + -50n = 0 + -50n Combine like terms: 50n + -50n = 0 -26m + 0 = 0 + -50n -26m = 0 + -50n Remove the zero: -26m = -50n Divide each side by '-26'. m = 1.923076923n Simplifying m = 1.923076923n
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