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Simplifying 9c + 8 = 6 + 5(c + 2) Reorder the terms: 8 + 9c = 6 + 5(c + 2) Reorder the terms: 8 + 9c = 6 + 5(2 + c) 8 + 9c = 6 + (2 * 5 + c * 5) 8 + 9c = 6 + (10 + 5c) Combine like terms: 6 + 10 = 16 8 + 9c = 16 + 5c Solving 8 + 9c = 16 + 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 + 9c + -5c = 16 + 5c + -5c Combine like terms: 9c + -5c = 4c 8 + 4c = 16 + 5c + -5c Combine like terms: 5c + -5c = 0 8 + 4c = 16 + 0 8 + 4c = 16 Add '-8' to each side of the equation. 8 + -8 + 4c = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4c = 16 + -8 4c = 16 + -8 Combine like terms: 16 + -8 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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