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Simplifying 34 = -2v + 8(v + 2) Reorder the terms: 34 = -2v + 8(2 + v) 34 = -2v + (2 * 8 + v * 8) 34 = -2v + (16 + 8v) Reorder the terms: 34 = 16 + -2v + 8v Combine like terms: -2v + 8v = 6v 34 = 16 + 6v Solving 34 = 16 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 34 + -6v = 16 + 6v + -6v Combine like terms: 6v + -6v = 0 34 + -6v = 16 + 0 34 + -6v = 16 Add '-34' to each side of the equation. 34 + -34 + -6v = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -6v = 16 + -34 -6v = 16 + -34 Combine like terms: 16 + -34 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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