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Simplifying 4(2c + 8) = 5(5 + 4) Reorder the terms: 4(8 + 2c) = 5(5 + 4) (8 * 4 + 2c * 4) = 5(5 + 4) (32 + 8c) = 5(5 + 4) Combine like terms: 5 + 4 = 9 32 + 8c = 5(9) Multiply 5 * 9 32 + 8c = 45 Solving 32 + 8c = 45 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8c = 45 + -32 Combine like terms: 32 + -32 = 0 0 + 8c = 45 + -32 8c = 45 + -32 Combine like terms: 45 + -32 = 13 8c = 13 Divide each side by '8'. c = 1.625 Simplifying c = 1.625
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