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Simplifying -5v + 34 = -8(v + -8) Reorder the terms: 34 + -5v = -8(v + -8) Reorder the terms: 34 + -5v = -8(-8 + v) 34 + -5v = (-8 * -8 + v * -8) 34 + -5v = (64 + -8v) Solving 34 + -5v = 64 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 34 + -5v + 8v = 64 + -8v + 8v Combine like terms: -5v + 8v = 3v 34 + 3v = 64 + -8v + 8v Combine like terms: -8v + 8v = 0 34 + 3v = 64 + 0 34 + 3v = 64 Add '-34' to each side of the equation. 34 + -34 + 3v = 64 + -34 Combine like terms: 34 + -34 = 0 0 + 3v = 64 + -34 3v = 64 + -34 Combine like terms: 64 + -34 = 30 3v = 30 Divide each side by '3'. v = 10 Simplifying v = 10
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