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Simplifying -3c + 10 = c + 2 + -6c Reorder the terms: 10 + -3c = c + 2 + -6c Reorder the terms: 10 + -3c = 2 + c + -6c Combine like terms: c + -6c = -5c 10 + -3c = 2 + -5c Solving 10 + -3c = 2 + -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. 10 + -3c + 5c = 2 + -5c + 5c Combine like terms: -3c + 5c = 2c 10 + 2c = 2 + -5c + 5c Combine like terms: -5c + 5c = 0 10 + 2c = 2 + 0 10 + 2c = 2 Add '-10' to each side of the equation. 10 + -10 + 2c = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2c = 2 + -10 2c = 2 + -10 Combine like terms: 2 + -10 = -8 2c = -8 Divide each side by '2'. c = -4 Simplifying c = -4
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