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Simplifying 8c + 3 = 5c + 12 Reorder the terms: 3 + 8c = 5c + 12 Reorder the terms: 3 + 8c = 12 + 5c Solving 3 + 8c = 12 + 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. 3 + 8c + -5c = 12 + 5c + -5c Combine like terms: 8c + -5c = 3c 3 + 3c = 12 + 5c + -5c Combine like terms: 5c + -5c = 0 3 + 3c = 12 + 0 3 + 3c = 12 Add '-3' to each side of the equation. 3 + -3 + 3c = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3c = 12 + -3 3c = 12 + -3 Combine like terms: 12 + -3 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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