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Simplifying (2c + 8) = 5(c + 4) Reorder the terms: (8 + 2c) = 5(c + 4) Remove parenthesis around (8 + 2c) 8 + 2c = 5(c + 4) Reorder the terms: 8 + 2c = 5(4 + c) 8 + 2c = (4 * 5 + c * 5) 8 + 2c = (20 + 5c) Solving 8 + 2c = 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. 8 + 2c + -5c = 20 + 5c + -5c Combine like terms: 2c + -5c = -3c 8 + -3c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 8 + -3c = 20 + 0 8 + -3c = 20 Add '-8' to each side of the equation. 8 + -8 + -3c = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -3c = 20 + -8 -3c = 20 + -8 Combine like terms: 20 + -8 = 12 -3c = 12 Divide each side by '-3'. c = -4 Simplifying c = -4
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