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Simplifying 12c + -8(5 + -2c) = 14 + c 12c + (5 * -8 + -2c * -8) = 14 + c 12c + (-40 + 16c) = 14 + c Reorder the terms: -40 + 12c + 16c = 14 + c Combine like terms: 12c + 16c = 28c -40 + 28c = 14 + c Solving -40 + 28c = 14 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -40 + 28c + -1c = 14 + c + -1c Combine like terms: 28c + -1c = 27c -40 + 27c = 14 + c + -1c Combine like terms: c + -1c = 0 -40 + 27c = 14 + 0 -40 + 27c = 14 Add '40' to each side of the equation. -40 + 40 + 27c = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 27c = 14 + 40 27c = 14 + 40 Combine like terms: 14 + 40 = 54 27c = 54 Divide each side by '27'. c = 2 Simplifying c = 2
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