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Simplifying 2c(3m + -4n) + -1(4n + -3m) = 0 (3m * 2c + -4n * 2c) + -1(4n + -3m) = 0 (6cm + -8cn) + -1(4n + -3m) = 0 Reorder the terms: 6cm + -8cn + -1(-3m + 4n) = 0 6cm + -8cn + (-3m * -1 + 4n * -1) = 0 6cm + -8cn + (3m + -4n) = 0 Solving 6cm + -8cn + 3m + -4n = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3m' to each side of the equation. 6cm + -8cn + 3m + -3m + -4n = 0 + -3m Combine like terms: 3m + -3m = 0 6cm + -8cn + 0 + -4n = 0 + -3m 6cm + -8cn + -4n = 0 + -3m Remove the zero: 6cm + -8cn + -4n = -3m Add '4n' to each side of the equation. 6cm + -8cn + -4n + 4n = -3m + 4n Combine like terms: -4n + 4n = 0 6cm + -8cn + 0 = -3m + 4n 6cm + -8cn = -3m + 4n Reorder the terms: 6cm + -8cn + 3m + -4n = -3m + 3m + 4n + -4n Combine like terms: -3m + 3m = 0 6cm + -8cn + 3m + -4n = 0 + 4n + -4n 6cm + -8cn + 3m + -4n = 4n + -4n Combine like terms: 4n + -4n = 0 6cm + -8cn + 3m + -4n = 0 The solution to this equation could not be determined.
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