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Simplifying 4(4c + -1) + -2 = 14c + 4 Reorder the terms: 4(-1 + 4c) + -2 = 14c + 4 (-1 * 4 + 4c * 4) + -2 = 14c + 4 (-4 + 16c) + -2 = 14c + 4 Reorder the terms: -4 + -2 + 16c = 14c + 4 Combine like terms: -4 + -2 = -6 -6 + 16c = 14c + 4 Reorder the terms: -6 + 16c = 4 + 14c Solving -6 + 16c = 4 + 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. -6 + 16c + -14c = 4 + 14c + -14c Combine like terms: 16c + -14c = 2c -6 + 2c = 4 + 14c + -14c Combine like terms: 14c + -14c = 0 -6 + 2c = 4 + 0 -6 + 2c = 4 Add '6' to each side of the equation. -6 + 6 + 2c = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 4 + 6 2c = 4 + 6 Combine like terms: 4 + 6 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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