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Simplifying 17 = 4 + 6(c + -5) Reorder the terms: 17 = 4 + 6(-5 + c) 17 = 4 + (-5 * 6 + c * 6) 17 = 4 + (-30 + 6c) Combine like terms: 4 + -30 = -26 17 = -26 + 6c Solving 17 = -26 + 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. 17 + -6c = -26 + 6c + -6c Combine like terms: 6c + -6c = 0 17 + -6c = -26 + 0 17 + -6c = -26 Add '-17' to each side of the equation. 17 + -17 + -6c = -26 + -17 Combine like terms: 17 + -17 = 0 0 + -6c = -26 + -17 -6c = -26 + -17 Combine like terms: -26 + -17 = -43 -6c = -43 Divide each side by '-6'. c = 7.166666667 Simplifying c = 7.166666667
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