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Simplifying 7c + 12 = (c + 6) Reorder the terms: 12 + 7c = (c + 6) Reorder the terms: 12 + 7c = (6 + c) Remove parenthesis around (6 + c) 12 + 7c = 6 + c Solving 12 + 7c = 6 + 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 + 7c + -1c = 6 + c + -1c Combine like terms: 7c + -1c = 6c 12 + 6c = 6 + c + -1c Combine like terms: c + -1c = 0 12 + 6c = 6 + 0 12 + 6c = 6 Add '-12' to each side of the equation. 12 + -12 + 6c = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 6c = 6 + -12 6c = 6 + -12 Combine like terms: 6 + -12 = -6 6c = -6 Divide each side by '6'. c = -1 Simplifying c = -1
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