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Simplifying 4v + 34 = 2(v + 7) Reorder the terms: 34 + 4v = 2(v + 7) Reorder the terms: 34 + 4v = 2(7 + v) 34 + 4v = (7 * 2 + v * 2) 34 + 4v = (14 + 2v) Solving 34 + 4v = 14 + 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. 34 + 4v + -2v = 14 + 2v + -2v Combine like terms: 4v + -2v = 2v 34 + 2v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 34 + 2v = 14 + 0 34 + 2v = 14 Add '-34' to each side of the equation. 34 + -34 + 2v = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 2v = 14 + -34 2v = 14 + -34 Combine like terms: 14 + -34 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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