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Simplifying 3m + 5n + -8(3m + -2n) = 0 3m + 5n + (3m * -8 + -2n * -8) = 0 3m + 5n + (-24m + 16n) = 0 Reorder the terms: 3m + -24m + 5n + 16n = 0 Combine like terms: 3m + -24m = -21m -21m + 5n + 16n = 0 Combine like terms: 5n + 16n = 21n -21m + 21n = 0 Solving -21m + 21n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21n' to each side of the equation. -21m + 21n + -21n = 0 + -21n Combine like terms: 21n + -21n = 0 -21m + 0 = 0 + -21n -21m = 0 + -21n Remove the zero: -21m = -21n Divide each side by '-21'. m = n Simplifying m = n
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