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Simplifying 4(c + 1) = 32 Reorder the terms: 4(1 + c) = 32 (1 * 4 + c * 4) = 32 (4 + 4c) = 32 Solving 4 + 4c = 32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4c = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4c = 32 + -4 4c = 32 + -4 Combine like terms: 32 + -4 = 28 4c = 28 Divide each side by '4'. c = 7 Simplifying c = 7
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