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Simplifying 3m + 2n + -6(5m + -5n) = 0 3m + 2n + (5m * -6 + -5n * -6) = 0 3m + 2n + (-30m + 30n) = 0 Reorder the terms: 3m + -30m + 2n + 30n = 0 Combine like terms: 3m + -30m = -27m -27m + 2n + 30n = 0 Combine like terms: 2n + 30n = 32n -27m + 32n = 0 Solving -27m + 32n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32n' to each side of the equation. -27m + 32n + -32n = 0 + -32n Combine like terms: 32n + -32n = 0 -27m + 0 = 0 + -32n -27m = 0 + -32n Remove the zero: -27m = -32n Divide each side by '-27'. m = 1.185185185n Simplifying m = 1.185185185n
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