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Simplifying 12c + -5 = 6c + 1 Reorder the terms: -5 + 12c = 6c + 1 Reorder the terms: -5 + 12c = 1 + 6c Solving -5 + 12c = 1 + 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. -5 + 12c + -6c = 1 + 6c + -6c Combine like terms: 12c + -6c = 6c -5 + 6c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 -5 + 6c = 1 + 0 -5 + 6c = 1 Add '5' to each side of the equation. -5 + 5 + 6c = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 6c = 1 + 5 6c = 1 + 5 Combine like terms: 1 + 5 = 6 6c = 6 Divide each side by '6'. c = 1 Simplifying c = 1
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