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Simplifying 14 = 2(v + -8) + 4v Reorder the terms: 14 = 2(-8 + v) + 4v 14 = (-8 * 2 + v * 2) + 4v 14 = (-16 + 2v) + 4v Combine like terms: 2v + 4v = 6v 14 = -16 + 6v Solving 14 = -16 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 14 + -6v = -16 + 6v + -6v Combine like terms: 6v + -6v = 0 14 + -6v = -16 + 0 14 + -6v = -16 Add '-14' to each side of the equation. 14 + -14 + -6v = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = -16 + -14 -6v = -16 + -14 Combine like terms: -16 + -14 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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