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Simplifying 2(8c + -1) + -2 = 14c + 2 Reorder the terms: 2(-1 + 8c) + -2 = 14c + 2 (-1 * 2 + 8c * 2) + -2 = 14c + 2 (-2 + 16c) + -2 = 14c + 2 Reorder the terms: -2 + -2 + 16c = 14c + 2 Combine like terms: -2 + -2 = -4 -4 + 16c = 14c + 2 Reorder the terms: -4 + 16c = 2 + 14c Solving -4 + 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. -4 + 16c + -14c = 2 + 14c + -14c Combine like terms: 16c + -14c = 2c -4 + 2c = 2 + 14c + -14c Combine like terms: 14c + -14c = 0 -4 + 2c = 2 + 0 -4 + 2c = 2 Add '4' to each side of the equation. -4 + 4 + 2c = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 2 + 4 2c = 2 + 4 Combine like terms: 2 + 4 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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