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Simplifying 2c + 6 = 6c + 30 Reorder the terms: 6 + 2c = 6c + 30 Reorder the terms: 6 + 2c = 30 + 6c Solving 6 + 2c = 30 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 6 + 2c + -6c = 30 + 6c + -6c Combine like terms: 2c + -6c = -4c 6 + -4c = 30 + 6c + -6c Combine like terms: 6c + -6c = 0 6 + -4c = 30 + 0 6 + -4c = 30 Add '-6' to each side of the equation. 6 + -6 + -4c = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -4c = 30 + -6 -4c = 30 + -6 Combine like terms: 30 + -6 = 24 -4c = 24 Divide each side by '-4'. c = -6 Simplifying c = -6
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