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Simplifying 8c(2m + -7n) + (7n + -2m) = 0 (2m * 8c + -7n * 8c) + (7n + -2m) = 0 (16cm + -56cn) + (7n + -2m) = 0 Reorder the terms: 16cm + -56cn + (-2m + 7n) = 0 Remove parenthesis around (-2m + 7n) 16cm + -56cn + -2m + 7n = 0 Solving 16cm + -56cn + -2m + 7n = 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 + -56cn + -2m + 2m + 7n = 0 + 2m Combine like terms: -2m + 2m = 0 16cm + -56cn + 0 + 7n = 0 + 2m 16cm + -56cn + 7n = 0 + 2m Remove the zero: 16cm + -56cn + 7n = 2m Add '-7n' to each side of the equation. 16cm + -56cn + 7n + -7n = 2m + -7n Combine like terms: 7n + -7n = 0 16cm + -56cn + 0 = 2m + -7n 16cm + -56cn = 2m + -7n Reorder the terms: 16cm + -56cn + -2m + 7n = 2m + -2m + -7n + 7n Combine like terms: 2m + -2m = 0 16cm + -56cn + -2m + 7n = 0 + -7n + 7n 16cm + -56cn + -2m + 7n = -7n + 7n Combine like terms: -7n + 7n = 0 16cm + -56cn + -2m + 7n = 0 The solution to this equation could not be determined.
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