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Simplifying 3c + 30 = 8c + 6 Reorder the terms: 30 + 3c = 8c + 6 Reorder the terms: 30 + 3c = 6 + 8c Solving 30 + 3c = 6 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 30 + 3c + -8c = 6 + 8c + -8c Combine like terms: 3c + -8c = -5c 30 + -5c = 6 + 8c + -8c Combine like terms: 8c + -8c = 0 30 + -5c = 6 + 0 30 + -5c = 6 Add '-30' to each side of the equation. 30 + -30 + -5c = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -5c = 6 + -30 -5c = 6 + -30 Combine like terms: 6 + -30 = -24 -5c = -24 Divide each side by '-5'. c = 4.8 Simplifying c = 4.8
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