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Simplifying 4(c + 1) = 5(c + 1) Reorder the terms: 4(1 + c) = 5(c + 1) (1 * 4 + c * 4) = 5(c + 1) (4 + 4c) = 5(c + 1) Reorder the terms: 4 + 4c = 5(1 + c) 4 + 4c = (1 * 5 + c * 5) 4 + 4c = (5 + 5c) Solving 4 + 4c = 5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 4 + 4c + -5c = 5 + 5c + -5c Combine like terms: 4c + -5c = -1c 4 + -1c = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 4 + -1c = 5 + 0 4 + -1c = 5 Add '-4' to each side of the equation. 4 + -4 + -1c = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 5 + -4 -1c = 5 + -4 Combine like terms: 5 + -4 = 1 -1c = 1 Divide each side by '-1'. c = -1 Simplifying c = -1
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