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Simplifying 5(c + 3) = 4c + 8 Reorder the terms: 5(3 + c) = 4c + 8 (3 * 5 + c * 5) = 4c + 8 (15 + 5c) = 4c + 8 Reorder the terms: 15 + 5c = 8 + 4c Solving 15 + 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. 15 + 5c + -4c = 8 + 4c + -4c Combine like terms: 5c + -4c = 1c 15 + 1c = 8 + 4c + -4c Combine like terms: 4c + -4c = 0 15 + 1c = 8 + 0 15 + 1c = 8 Add '-15' to each side of the equation. 15 + -15 + 1c = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = 8 + -15 1c = 8 + -15 Combine like terms: 8 + -15 = -7 1c = -7 Divide each side by '1'. c = -7 Simplifying c = -7
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