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Simplifying 8c + 2 = 8 + 5c Reorder the terms: 2 + 8c = 8 + 5c Solving 2 + 8c = 8 + 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. 2 + 8c + -5c = 8 + 5c + -5c Combine like terms: 8c + -5c = 3c 2 + 3c = 8 + 5c + -5c Combine like terms: 5c + -5c = 0 2 + 3c = 8 + 0 2 + 3c = 8 Add '-2' to each side of the equation. 2 + -2 + 3c = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = 8 + -2 3c = 8 + -2 Combine like terms: 8 + -2 = 6 3c = 6 Divide each side by '3'. c = 2 Simplifying c = 2
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