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Simplifying 4m + 5n + -3(9m + -9n) = 0 4m + 5n + (9m * -3 + -9n * -3) = 0 4m + 5n + (-27m + 27n) = 0 Reorder the terms: 4m + -27m + 5n + 27n = 0 Combine like terms: 4m + -27m = -23m -23m + 5n + 27n = 0 Combine like terms: 5n + 27n = 32n -23m + 32n = 0 Solving -23m + 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. -23m + 32n + -32n = 0 + -32n Combine like terms: 32n + -32n = 0 -23m + 0 = 0 + -32n -23m = 0 + -32n Remove the zero: -23m = -32n Divide each side by '-23'. m = 1.391304348n Simplifying m = 1.391304348n
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