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Simplifying 34 = 2c + -4(2 + -3c) 34 = 2c + (2 * -4 + -3c * -4) 34 = 2c + (-8 + 12c) Reorder the terms: 34 = -8 + 2c + 12c Combine like terms: 2c + 12c = 14c 34 = -8 + 14c Solving 34 = -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. 34 + -14c = -8 + 14c + -14c Combine like terms: 14c + -14c = 0 34 + -14c = -8 + 0 34 + -14c = -8 Add '-34' to each side of the equation. 34 + -34 + -14c = -8 + -34 Combine like terms: 34 + -34 = 0 0 + -14c = -8 + -34 -14c = -8 + -34 Combine like terms: -8 + -34 = -42 -14c = -42 Divide each side by '-14'. c = 3 Simplifying c = 3
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