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Simplifying 12c + 1 = 8c + 41 Reorder the terms: 1 + 12c = 8c + 41 Reorder the terms: 1 + 12c = 41 + 8c Solving 1 + 12c = 41 + 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. 1 + 12c + -8c = 41 + 8c + -8c Combine like terms: 12c + -8c = 4c 1 + 4c = 41 + 8c + -8c Combine like terms: 8c + -8c = 0 1 + 4c = 41 + 0 1 + 4c = 41 Add '-1' to each side of the equation. 1 + -1 + 4c = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 4c = 41 + -1 4c = 41 + -1 Combine like terms: 41 + -1 = 40 4c = 40 Divide each side by '4'. c = 10 Simplifying c = 10
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