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Simplifying 7 + -5c = c + 27 Reorder the terms: 7 + -5c = 27 + c Solving 7 + -5c = 27 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 7 + -5c + -1c = 27 + c + -1c Combine like terms: -5c + -1c = -6c 7 + -6c = 27 + c + -1c Combine like terms: c + -1c = 0 7 + -6c = 27 + 0 7 + -6c = 27 Add '-7' to each side of the equation. 7 + -7 + -6c = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -6c = 27 + -7 -6c = 27 + -7 Combine like terms: 27 + -7 = 20 -6c = 20 Divide each side by '-6'. c = -3.333333333 Simplifying c = -3.333333333
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