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Simplifying c + 2 = 47 + -8c Reorder the terms: 2 + c = 47 + -8c Solving 2 + c = 47 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 2 + c + 8c = 47 + -8c + 8c Combine like terms: c + 8c = 9c 2 + 9c = 47 + -8c + 8c Combine like terms: -8c + 8c = 0 2 + 9c = 47 + 0 2 + 9c = 47 Add '-2' to each side of the equation. 2 + -2 + 9c = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 9c = 47 + -2 9c = 47 + -2 Combine like terms: 47 + -2 = 45 9c = 45 Divide each side by '9'. c = 5 Simplifying c = 5
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