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Simplifying 3(c + 7) + 2 = 6c + -2 + 2c Reorder the terms: 3(7 + c) + 2 = 6c + -2 + 2c (7 * 3 + c * 3) + 2 = 6c + -2 + 2c (21 + 3c) + 2 = 6c + -2 + 2c Reorder the terms: 21 + 2 + 3c = 6c + -2 + 2c Combine like terms: 21 + 2 = 23 23 + 3c = 6c + -2 + 2c Reorder the terms: 23 + 3c = -2 + 6c + 2c Combine like terms: 6c + 2c = 8c 23 + 3c = -2 + 8c Solving 23 + 3c = -2 + 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. 23 + 3c + -8c = -2 + 8c + -8c Combine like terms: 3c + -8c = -5c 23 + -5c = -2 + 8c + -8c Combine like terms: 8c + -8c = 0 23 + -5c = -2 + 0 23 + -5c = -2 Add '-23' to each side of the equation. 23 + -23 + -5c = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -5c = -2 + -23 -5c = -2 + -23 Combine like terms: -2 + -23 = -25 -5c = -25 Divide each side by '-5'. c = 5 Simplifying c = 5
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