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Simplifying 2(2c + 8) = 5c + 4 Reorder the terms: 2(8 + 2c) = 5c + 4 (8 * 2 + 2c * 2) = 5c + 4 (16 + 4c) = 5c + 4 Reorder the terms: 16 + 4c = 4 + 5c Solving 16 + 4c = 4 + 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. 16 + 4c + -5c = 4 + 5c + -5c Combine like terms: 4c + -5c = -1c 16 + -1c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 16 + -1c = 4 + 0 16 + -1c = 4 Add '-16' to each side of the equation. 16 + -16 + -1c = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -1c = 4 + -16 -1c = 4 + -16 Combine like terms: 4 + -16 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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