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Simplifying 8(4 + c) = (4 + c) (4 * 8 + c * 8) = (4 + c) (32 + 8c) = (4 + c) Remove parenthesis around (4 + c) 32 + 8c = 4 + c Solving 32 + 8c = 4 + 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. 32 + 8c + -1c = 4 + c + -1c Combine like terms: 8c + -1c = 7c 32 + 7c = 4 + c + -1c Combine like terms: c + -1c = 0 32 + 7c = 4 + 0 32 + 7c = 4 Add '-32' to each side of the equation. 32 + -32 + 7c = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 7c = 4 + -32 7c = 4 + -32 Combine like terms: 4 + -32 = -28 7c = -28 Divide each side by '7'. c = -4 Simplifying c = -4
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