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Simplifying 34 = 5(v + 8) + -7v Reorder the terms: 34 = 5(8 + v) + -7v 34 = (8 * 5 + v * 5) + -7v 34 = (40 + 5v) + -7v Combine like terms: 5v + -7v = -2v 34 = 40 + -2v Solving 34 = 40 + -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 = 40 + -2v + 2v Combine like terms: -2v + 2v = 0 34 + 2v = 40 + 0 34 + 2v = 40 Add '-34' to each side of the equation. 34 + -34 + 2v = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 2v = 40 + -34 2v = 40 + -34 Combine like terms: 40 + -34 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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