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Simplifying 8(c + 4) = 8 + 5c Reorder the terms: 8(4 + c) = 8 + 5c (4 * 8 + c * 8) = 8 + 5c (32 + 8c) = 8 + 5c Solving 32 + 8c = 8 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 32 + 8c + -5c = 8 + 5c + -5c Combine like terms: 8c + -5c = 3c 32 + 3c = 8 + 5c + -5c Combine like terms: 5c + -5c = 0 32 + 3c = 8 + 0 32 + 3c = 8 Add '-32' to each side of the equation. 32 + -32 + 3c = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 3c = 8 + -32 3c = 8 + -32 Combine like terms: 8 + -32 = -24 3c = -24 Divide each side by '3'. c = -8 Simplifying c = -8
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