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Simplifying 5(c + 1) = c + 5 Reorder the terms: 5(1 + c) = c + 5 (1 * 5 + c * 5) = c + 5 (5 + 5c) = c + 5 Reorder the terms: 5 + 5c = 5 + c Add '-5' to each side of the equation. 5 + -5 + 5c = 5 + -5 + c Combine like terms: 5 + -5 = 0 0 + 5c = 5 + -5 + c 5c = 5 + -5 + c Combine like terms: 5 + -5 = 0 5c = 0 + c 5c = c Solving 5c = 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. 5c + -1c = c + -1c Combine like terms: 5c + -1c = 4c 4c = c + -1c Combine like terms: c + -1c = 0 4c = 0 Divide each side by '4'. c = 0 Simplifying c = 0
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