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Simplifying 34 = 5(v + 7) + -7v Reorder the terms: 34 = 5(7 + v) + -7v 34 = (7 * 5 + v * 5) + -7v 34 = (35 + 5v) + -7v Combine like terms: 5v + -7v = -2v 34 = 35 + -2v Solving 34 = 35 + -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 = 35 + -2v + 2v Combine like terms: -2v + 2v = 0 34 + 2v = 35 + 0 34 + 2v = 35 Add '-34' to each side of the equation. 34 + -34 + 2v = 35 + -34 Combine like terms: 34 + -34 = 0 0 + 2v = 35 + -34 2v = 35 + -34 Combine like terms: 35 + -34 = 1 2v = 1 Divide each side by '2'. v = 0.5 Simplifying v = 0.5
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