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Simplifying 16(9c + -1) + -14 = 142c + 16 Reorder the terms: 16(-1 + 9c) + -14 = 142c + 16 (-1 * 16 + 9c * 16) + -14 = 142c + 16 (-16 + 144c) + -14 = 142c + 16 Reorder the terms: -16 + -14 + 144c = 142c + 16 Combine like terms: -16 + -14 = -30 -30 + 144c = 142c + 16 Reorder the terms: -30 + 144c = 16 + 142c Solving -30 + 144c = 16 + 142c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-142c' to each side of the equation. -30 + 144c + -142c = 16 + 142c + -142c Combine like terms: 144c + -142c = 2c -30 + 2c = 16 + 142c + -142c Combine like terms: 142c + -142c = 0 -30 + 2c = 16 + 0 -30 + 2c = 16 Add '30' to each side of the equation. -30 + 30 + 2c = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 2c = 16 + 30 2c = 16 + 30 Combine like terms: 16 + 30 = 46 2c = 46 Divide each side by '2'. c = 23 Simplifying c = 23
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