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Simplifying 4c + 3(c + 8) = 4 + 8c Reorder the terms: 4c + 3(8 + c) = 4 + 8c 4c + (8 * 3 + c * 3) = 4 + 8c 4c + (24 + 3c) = 4 + 8c Reorder the terms: 24 + 4c + 3c = 4 + 8c Combine like terms: 4c + 3c = 7c 24 + 7c = 4 + 8c Solving 24 + 7c = 4 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 24 + 7c + -8c = 4 + 8c + -8c Combine like terms: 7c + -8c = -1c 24 + -1c = 4 + 8c + -8c Combine like terms: 8c + -8c = 0 24 + -1c = 4 + 0 24 + -1c = 4 Add '-24' to each side of the equation. 24 + -24 + -1c = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -1c = 4 + -24 -1c = 4 + -24 Combine like terms: 4 + -24 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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