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Simplifying 5(1 + c) = 4(c + 2) (1 * 5 + c * 5) = 4(c + 2) (5 + 5c) = 4(c + 2) Reorder the terms: 5 + 5c = 4(2 + c) 5 + 5c = (2 * 4 + c * 4) 5 + 5c = (8 + 4c) Solving 5 + 5c = 8 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 5 + 5c + -4c = 8 + 4c + -4c Combine like terms: 5c + -4c = 1c 5 + 1c = 8 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + 1c = 8 + 0 5 + 1c = 8 Add '-5' to each side of the equation. 5 + -5 + 1c = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1c = 8 + -5 1c = 8 + -5 Combine like terms: 8 + -5 = 3 1c = 3 Divide each side by '1'. c = 3 Simplifying c = 3
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