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Simplifying 12c + 17 = 8c + 49 Reorder the terms: 17 + 12c = 8c + 49 Reorder the terms: 17 + 12c = 49 + 8c Solving 17 + 12c = 49 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 17 + 12c + -8c = 49 + 8c + -8c Combine like terms: 12c + -8c = 4c 17 + 4c = 49 + 8c + -8c Combine like terms: 8c + -8c = 0 17 + 4c = 49 + 0 17 + 4c = 49 Add '-17' to each side of the equation. 17 + -17 + 4c = 49 + -17 Combine like terms: 17 + -17 = 0 0 + 4c = 49 + -17 4c = 49 + -17 Combine like terms: 49 + -17 = 32 4c = 32 Divide each side by '4'. c = 8 Simplifying c = 8
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