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Simplifying 8c + 12 = c + 32 Reorder the terms: 12 + 8c = c + 32 Reorder the terms: 12 + 8c = 32 + c Solving 12 + 8c = 32 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 12 + 8c + -1c = 32 + c + -1c Combine like terms: 8c + -1c = 7c 12 + 7c = 32 + c + -1c Combine like terms: c + -1c = 0 12 + 7c = 32 + 0 12 + 7c = 32 Add '-12' to each side of the equation. 12 + -12 + 7c = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 7c = 32 + -12 7c = 32 + -12 Combine like terms: 32 + -12 = 20 7c = 20 Divide each side by '7'. c = 2.857142857 Simplifying c = 2.857142857
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