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