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Simplifying 4(4c + -2) + -6 = 14c + 2 Reorder the terms: 4(-2 + 4c) + -6 = 14c + 2 (-2 * 4 + 4c * 4) + -6 = 14c + 2 (-8 + 16c) + -6 = 14c + 2 Reorder the terms: -8 + -6 + 16c = 14c + 2 Combine like terms: -8 + -6 = -14 -14 + 16c = 14c + 2 Reorder the terms: -14 + 16c = 2 + 14c Solving -14 + 16c = 2 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -14 + 16c + -14c = 2 + 14c + -14c Combine like terms: 16c + -14c = 2c -14 + 2c = 2 + 14c + -14c Combine like terms: 14c + -14c = 0 -14 + 2c = 2 + 0 -14 + 2c = 2 Add '14' to each side of the equation. -14 + 14 + 2c = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 2 + 14 2c = 2 + 14 Combine like terms: 2 + 14 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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