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Simplifying 8c(2m + -3n) + -2m + -3n = 0 (2m * 8c + -3n * 8c) + -2m + -3n = 0 (16cm + -24cn) + -2m + -3n = 0 Solving 16cm + -24cn + -2m + -3n = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2m' to each side of the equation. 16cm + -24cn + -2m + 2m + -3n = 0 + 2m Combine like terms: -2m + 2m = 0 16cm + -24cn + 0 + -3n = 0 + 2m 16cm + -24cn + -3n = 0 + 2m Remove the zero: 16cm + -24cn + -3n = 2m Add '3n' to each side of the equation. 16cm + -24cn + -3n + 3n = 2m + 3n Combine like terms: -3n + 3n = 0 16cm + -24cn + 0 = 2m + 3n 16cm + -24cn = 2m + 3n Reorder the terms: 16cm + -24cn + -2m + -3n = 2m + -2m + 3n + -3n Combine like terms: 2m + -2m = 0 16cm + -24cn + -2m + -3n = 0 + 3n + -3n 16cm + -24cn + -2m + -3n = 3n + -3n Combine like terms: 3n + -3n = 0 16cm + -24cn + -2m + -3n = 0 The solution to this equation could not be determined.
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