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