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Simplifying 14c = 16(c + 12) Reorder the terms: 14c = 16(12 + c) 14c = (12 * 16 + c * 16) 14c = (192 + 16c) Solving 14c = 192 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. 14c + -16c = 192 + 16c + -16c Combine like terms: 14c + -16c = -2c -2c = 192 + 16c + -16c Combine like terms: 16c + -16c = 0 -2c = 192 + 0 -2c = 192 Divide each side by '-2'. c = -96 Simplifying c = -96
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