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Simplifying c + -2 = -8c + 9 + 7 Reorder the terms: -2 + c = -8c + 9 + 7 Reorder the terms: -2 + c = 9 + 7 + -8c Combine like terms: 9 + 7 = 16 -2 + c = 16 + -8c Solving -2 + c = 16 + -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 = 16 + -8c + 8c Combine like terms: c + 8c = 9c -2 + 9c = 16 + -8c + 8c Combine like terms: -8c + 8c = 0 -2 + 9c = 16 + 0 -2 + 9c = 16 Add '2' to each side of the equation. -2 + 2 + 9c = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 9c = 16 + 2 9c = 16 + 2 Combine like terms: 16 + 2 = 18 9c = 18 Divide each side by '9'. c = 2 Simplifying c = 2
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