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Simplifying 3c + -8 + 7 = 12 + 1 + c Reorder the terms: -8 + 7 + 3c = 12 + 1 + c Combine like terms: -8 + 7 = -1 -1 + 3c = 12 + 1 + c Combine like terms: 12 + 1 = 13 -1 + 3c = 13 + c Solving -1 + 3c = 13 + 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. -1 + 3c + -1c = 13 + c + -1c Combine like terms: 3c + -1c = 2c -1 + 2c = 13 + c + -1c Combine like terms: c + -1c = 0 -1 + 2c = 13 + 0 -1 + 2c = 13 Add '1' to each side of the equation. -1 + 1 + 2c = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 2c = 13 + 1 2c = 13 + 1 Combine like terms: 13 + 1 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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