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Simplifying 2(c + 4) = 8(1 + 25c) Reorder the terms: 2(4 + c) = 8(1 + 25c) (4 * 2 + c * 2) = 8(1 + 25c) (8 + 2c) = 8(1 + 25c) 8 + 2c = (1 * 8 + 25c * 8) 8 + 2c = (8 + 200c) Add '-8' to each side of the equation. 8 + -8 + 2c = 8 + -8 + 200c Combine like terms: 8 + -8 = 0 0 + 2c = 8 + -8 + 200c 2c = 8 + -8 + 200c Combine like terms: 8 + -8 = 0 2c = 0 + 200c 2c = 200c Solving 2c = 200c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-200c' to each side of the equation. 2c + -200c = 200c + -200c Combine like terms: 2c + -200c = -198c -198c = 200c + -200c Combine like terms: 200c + -200c = 0 -198c = 0 Divide each side by '-198'. c = 0 Simplifying c = 0
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