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Simplifying 14 = 10c + -6 + -5c + 2 + 4c + 8 Reorder the terms: 14 = -6 + 2 + 8 + 10c + -5c + 4c Combine like terms: -6 + 2 = -4 14 = -4 + 8 + 10c + -5c + 4c Combine like terms: -4 + 8 = 4 14 = 4 + 10c + -5c + 4c Combine like terms: 10c + -5c = 5c 14 = 4 + 5c + 4c Combine like terms: 5c + 4c = 9c 14 = 4 + 9c Solving 14 = 4 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 14 + -9c = 4 + 9c + -9c Combine like terms: 9c + -9c = 0 14 + -9c = 4 + 0 14 + -9c = 4 Add '-14' to each side of the equation. 14 + -14 + -9c = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -9c = 4 + -14 -9c = 4 + -14 Combine like terms: 4 + -14 = -10 -9c = -10 Divide each side by '-9'. c = 1.111111111 Simplifying c = 1.111111111
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