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Simplifying 32 = (8 + 4c) * 2 Reorder the terms for easier multiplication: 32 = 2(8 + 4c) 32 = (8 * 2 + 4c * 2) 32 = (16 + 8c) Solving 32 = 16 + 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. 32 + -8c = 16 + 8c + -8c Combine like terms: 8c + -8c = 0 32 + -8c = 16 + 0 32 + -8c = 16 Add '-32' to each side of the equation. 32 + -32 + -8c = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -8c = 16 + -32 -8c = 16 + -32 Combine like terms: 16 + -32 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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