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Simplifying 14s + 6c + 15 = 13s + 14c Reorder the terms: 15 + 6c + 14s = 13s + 14c Reorder the terms: 15 + 6c + 14s = 14c + 13s Solving 15 + 6c + 14s = 14c + 13s Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. 15 + 6c + -14c + 14s = 14c + -14c + 13s Combine like terms: 6c + -14c = -8c 15 + -8c + 14s = 14c + -14c + 13s Combine like terms: 14c + -14c = 0 15 + -8c + 14s = 0 + 13s 15 + -8c + 14s = 13s Add '-15' to each side of the equation. 15 + -8c + -15 + 14s = -15 + 13s Reorder the terms: 15 + -15 + -8c + 14s = -15 + 13s Combine like terms: 15 + -15 = 0 0 + -8c + 14s = -15 + 13s -8c + 14s = -15 + 13s Add '-14s' to each side of the equation. -8c + 14s + -14s = -15 + 13s + -14s Combine like terms: 14s + -14s = 0 -8c + 0 = -15 + 13s + -14s -8c = -15 + 13s + -14s Combine like terms: 13s + -14s = -1s -8c = -15 + -1s Divide each side by '-8'. c = 1.875 + 0.125s Simplifying c = 1.875 + 0.125s
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