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Simplifying -5c + 9 = c + 171 Reorder the terms: 9 + -5c = c + 171 Reorder the terms: 9 + -5c = 171 + c Solving 9 + -5c = 171 + 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. 9 + -5c + -1c = 171 + c + -1c Combine like terms: -5c + -1c = -6c 9 + -6c = 171 + c + -1c Combine like terms: c + -1c = 0 9 + -6c = 171 + 0 9 + -6c = 171 Add '-9' to each side of the equation. 9 + -9 + -6c = 171 + -9 Combine like terms: 9 + -9 = 0 0 + -6c = 171 + -9 -6c = 171 + -9 Combine like terms: 171 + -9 = 162 -6c = 162 Divide each side by '-6'. c = -27 Simplifying c = -27
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