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Simplifying 4(4c + -1) + -2 = 14c + 8 Reorder the terms: 4(-1 + 4c) + -2 = 14c + 8 (-1 * 4 + 4c * 4) + -2 = 14c + 8 (-4 + 16c) + -2 = 14c + 8 Reorder the terms: -4 + -2 + 16c = 14c + 8 Combine like terms: -4 + -2 = -6 -6 + 16c = 14c + 8 Reorder the terms: -6 + 16c = 8 + 14c Solving -6 + 16c = 8 + 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 = 8 + 14c + -14c Combine like terms: 16c + -14c = 2c -6 + 2c = 8 + 14c + -14c Combine like terms: 14c + -14c = 0 -6 + 2c = 8 + 0 -6 + 2c = 8 Add '6' to each side of the equation. -6 + 6 + 2c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 8 + 6 2c = 8 + 6 Combine like terms: 8 + 6 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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