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Simplifying 9(c + -2) + 9 = 8 + c + -17 Reorder the terms: 9(-2 + c) + 9 = 8 + c + -17 (-2 * 9 + c * 9) + 9 = 8 + c + -17 (-18 + 9c) + 9 = 8 + c + -17 Reorder the terms: -18 + 9 + 9c = 8 + c + -17 Combine like terms: -18 + 9 = -9 -9 + 9c = 8 + c + -17 Reorder the terms: -9 + 9c = 8 + -17 + c Combine like terms: 8 + -17 = -9 -9 + 9c = -9 + c Add '9' to each side of the equation. -9 + 9 + 9c = -9 + 9 + c Combine like terms: -9 + 9 = 0 0 + 9c = -9 + 9 + c 9c = -9 + 9 + c Combine like terms: -9 + 9 = 0 9c = 0 + c 9c = c Solving 9c = 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. 9c + -1c = c + -1c Combine like terms: 9c + -1c = 8c 8c = c + -1c Combine like terms: c + -1c = 0 8c = 0 Divide each side by '8'. c = 0 Simplifying c = 0
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