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Simplifying 7m + 6n + -3(4m + -3n) = 0 7m + 6n + (4m * -3 + -3n * -3) = 0 7m + 6n + (-12m + 9n) = 0 Reorder the terms: 7m + -12m + 6n + 9n = 0 Combine like terms: 7m + -12m = -5m -5m + 6n + 9n = 0 Combine like terms: 6n + 9n = 15n -5m + 15n = 0 Solving -5m + 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. -5m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 -5m + 0 = 0 + -15n -5m = 0 + -15n Remove the zero: -5m = -15n Divide each side by '-5'. m = 3n Simplifying m = 3n
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