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Simplifying 17 = 4 + -1(c + 9) Reorder the terms: 17 = 4 + -1(9 + c) 17 = 4 + (9 * -1 + c * -1) 17 = 4 + (-9 + -1c) Combine like terms: 4 + -9 = -5 17 = -5 + -1c Solving 17 = -5 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 17 + c = -5 + -1c + c Combine like terms: -1c + c = 0 17 + c = -5 + 0 17 + c = -5 Add '-17' to each side of the equation. 17 + -17 + c = -5 + -17 Combine like terms: 17 + -17 = 0 0 + c = -5 + -17 c = -5 + -17 Combine like terms: -5 + -17 = -22 c = -22 Simplifying c = -22
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