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Simplifying 5(1 + c) = 4c + -5 (1 * 5 + c * 5) = 4c + -5 (5 + 5c) = 4c + -5 Reorder the terms: 5 + 5c = -5 + 4c Solving 5 + 5c = -5 + 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 = -5 + 4c + -4c Combine like terms: 5c + -4c = 1c 5 + 1c = -5 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + 1c = -5 + 0 5 + 1c = -5 Add '-5' to each side of the equation. 5 + -5 + 1c = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 1c = -5 + -5 1c = -5 + -5 Combine like terms: -5 + -5 = -10 1c = -10 Divide each side by '1'. c = -10 Simplifying c = -10
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