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Simplifying 34 = 5(v + 4) + -7v Reorder the terms: 34 = 5(4 + v) + -7v 34 = (4 * 5 + v * 5) + -7v 34 = (20 + 5v) + -7v Combine like terms: 5v + -7v = -2v 34 = 20 + -2v Solving 34 = 20 + -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 + 2v = 20 + -2v + 2v Combine like terms: -2v + 2v = 0 34 + 2v = 20 + 0 34 + 2v = 20 Add '-34' to each side of the equation. 34 + -34 + 2v = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 2v = 20 + -34 2v = 20 + -34 Combine like terms: 20 + -34 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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