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Simplifying c + 41 = 18c + 7 Reorder the terms: 41 + c = 18c + 7 Reorder the terms: 41 + c = 7 + 18c Solving 41 + c = 7 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 41 + c + -18c = 7 + 18c + -18c Combine like terms: c + -18c = -17c 41 + -17c = 7 + 18c + -18c Combine like terms: 18c + -18c = 0 41 + -17c = 7 + 0 41 + -17c = 7 Add '-41' to each side of the equation. 41 + -41 + -17c = 7 + -41 Combine like terms: 41 + -41 = 0 0 + -17c = 7 + -41 -17c = 7 + -41 Combine like terms: 7 + -41 = -34 -17c = -34 Divide each side by '-17'. c = 2 Simplifying c = 2
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