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Simplifying 14 + 14c = 8 + 2(12c + -17) Reorder the terms: 14 + 14c = 8 + 2(-17 + 12c) 14 + 14c = 8 + (-17 * 2 + 12c * 2) 14 + 14c = 8 + (-34 + 24c) Combine like terms: 8 + -34 = -26 14 + 14c = -26 + 24c Solving 14 + 14c = -26 + 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. 14 + 14c + -24c = -26 + 24c + -24c Combine like terms: 14c + -24c = -10c 14 + -10c = -26 + 24c + -24c Combine like terms: 24c + -24c = 0 14 + -10c = -26 + 0 14 + -10c = -26 Add '-14' to each side of the equation. 14 + -14 + -10c = -26 + -14 Combine like terms: 14 + -14 = 0 0 + -10c = -26 + -14 -10c = -26 + -14 Combine like terms: -26 + -14 = -40 -10c = -40 Divide each side by '-10'. c = 4 Simplifying c = 4
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