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Simplifying 27 = 7 + 6(c + -8) Reorder the terms: 27 = 7 + 6(-8 + c) 27 = 7 + (-8 * 6 + c * 6) 27 = 7 + (-48 + 6c) Combine like terms: 7 + -48 = -41 27 = -41 + 6c Solving 27 = -41 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 27 + -6c = -41 + 6c + -6c Combine like terms: 6c + -6c = 0 27 + -6c = -41 + 0 27 + -6c = -41 Add '-27' to each side of the equation. 27 + -27 + -6c = -41 + -27 Combine like terms: 27 + -27 = 0 0 + -6c = -41 + -27 -6c = -41 + -27 Combine like terms: -41 + -27 = -68 -6c = -68 Divide each side by '-6'. c = 11.33333333 Simplifying c = 11.33333333
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