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Simplifying 34 = -8v + 5(v + 8) Reorder the terms: 34 = -8v + 5(8 + v) 34 = -8v + (8 * 5 + v * 5) 34 = -8v + (40 + 5v) Reorder the terms: 34 = 40 + -8v + 5v Combine like terms: -8v + 5v = -3v 34 = 40 + -3v Solving 34 = 40 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 34 + 3v = 40 + -3v + 3v Combine like terms: -3v + 3v = 0 34 + 3v = 40 + 0 34 + 3v = 40 Add '-34' to each side of the equation. 34 + -34 + 3v = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 3v = 40 + -34 3v = 40 + -34 Combine like terms: 40 + -34 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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