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Simplifying 5(1 + c) = (2 + c) (1 * 5 + c * 5) = (2 + c) (5 + 5c) = (2 + c) Remove parenthesis around (2 + c) 5 + 5c = 2 + c Solving 5 + 5c = 2 + 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. 5 + 5c + -1c = 2 + c + -1c Combine like terms: 5c + -1c = 4c 5 + 4c = 2 + c + -1c Combine like terms: c + -1c = 0 5 + 4c = 2 + 0 5 + 4c = 2 Add '-5' to each side of the equation. 5 + -5 + 4c = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 2 + -5 4c = 2 + -5 Combine like terms: 2 + -5 = -3 4c = -3 Divide each side by '4'. c = -0.75 Simplifying c = -0.75
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