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Simplifying 9c + -10 = 3c + 2 Reorder the terms: -10 + 9c = 3c + 2 Reorder the terms: -10 + 9c = 2 + 3c Solving -10 + 9c = 2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -10 + 9c + -3c = 2 + 3c + -3c Combine like terms: 9c + -3c = 6c -10 + 6c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + 6c = 2 + 0 -10 + 6c = 2 Add '10' to each side of the equation. -10 + 10 + 6c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6c = 2 + 10 6c = 2 + 10 Combine like terms: 2 + 10 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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