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Simplifying -4v + 14 = 2(v + 4) Reorder the terms: 14 + -4v = 2(v + 4) Reorder the terms: 14 + -4v = 2(4 + v) 14 + -4v = (4 * 2 + v * 2) 14 + -4v = (8 + 2v) Solving 14 + -4v = 8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 14 + -4v + -2v = 8 + 2v + -2v Combine like terms: -4v + -2v = -6v 14 + -6v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 14 + -6v = 8 + 0 14 + -6v = 8 Add '-14' to each side of the equation. 14 + -14 + -6v = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = 8 + -14 -6v = 8 + -14 Combine like terms: 8 + -14 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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