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Simplifying 4(2c + 8) = 5(c + 20) Reorder the terms: 4(8 + 2c) = 5(c + 20) (8 * 4 + 2c * 4) = 5(c + 20) (32 + 8c) = 5(c + 20) Reorder the terms: 32 + 8c = 5(20 + c) 32 + 8c = (20 * 5 + c * 5) 32 + 8c = (100 + 5c) Solving 32 + 8c = 100 + 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 = 100 + 5c + -5c Combine like terms: 8c + -5c = 3c 32 + 3c = 100 + 5c + -5c Combine like terms: 5c + -5c = 0 32 + 3c = 100 + 0 32 + 3c = 100 Add '-32' to each side of the equation. 32 + -32 + 3c = 100 + -32 Combine like terms: 32 + -32 = 0 0 + 3c = 100 + -32 3c = 100 + -32 Combine like terms: 100 + -32 = 68 3c = 68 Divide each side by '3'. c = 22.66666667 Simplifying c = 22.66666667
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