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Simplifying 2m + 9n + -3(2m + -7n) = 0 2m + 9n + (2m * -3 + -7n * -3) = 0 2m + 9n + (-6m + 21n) = 0 Reorder the terms: 2m + -6m + 9n + 21n = 0 Combine like terms: 2m + -6m = -4m -4m + 9n + 21n = 0 Combine like terms: 9n + 21n = 30n -4m + 30n = 0 Solving -4m + 30n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30n' to each side of the equation. -4m + 30n + -30n = 0 + -30n Combine like terms: 30n + -30n = 0 -4m + 0 = 0 + -30n -4m = 0 + -30n Remove the zero: -4m = -30n Divide each side by '-4'. m = 7.5n Simplifying m = 7.5n
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