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Simplifying 4(2c + 8) = 5c + 20 Reorder the terms: 4(8 + 2c) = 5c + 20 (8 * 4 + 2c * 4) = 5c + 20 (32 + 8c) = 5c + 20 Reorder the terms: 32 + 8c = 20 + 5c Solving 32 + 8c = 20 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 32 + 8c + -5c = 20 + 5c + -5c Combine like terms: 8c + -5c = 3c 32 + 3c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 32 + 3c = 20 + 0 32 + 3c = 20 Add '-32' to each side of the equation. 32 + -32 + 3c = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 3c = 20 + -32 3c = 20 + -32 Combine like terms: 20 + -32 = -12 3c = -12 Divide each side by '3'. c = -4 Simplifying c = -4
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