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Simplifying 32(2c) = 8(c + 7) Remove parenthesis around (2c) 32 * 2c = 8(c + 7) Multiply 32 * 2 64c = 8(c + 7) Reorder the terms: 64c = 8(7 + c) 64c = (7 * 8 + c * 8) 64c = (56 + 8c) Solving 64c = 56 + 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. 64c + -8c = 56 + 8c + -8c Combine like terms: 64c + -8c = 56c 56c = 56 + 8c + -8c Combine like terms: 8c + -8c = 0 56c = 56 + 0 56c = 56 Divide each side by '56'. c = 1 Simplifying c = 1
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