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Simplifying 34 = 8(v + 3) + 2v Reorder the terms: 34 = 8(3 + v) + 2v 34 = (3 * 8 + v * 8) + 2v 34 = (24 + 8v) + 2v Combine like terms: 8v + 2v = 10v 34 = 24 + 10v Solving 34 = 24 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 34 + -10v = 24 + 10v + -10v Combine like terms: 10v + -10v = 0 34 + -10v = 24 + 0 34 + -10v = 24 Add '-34' to each side of the equation. 34 + -34 + -10v = 24 + -34 Combine like terms: 34 + -34 = 0 0 + -10v = 24 + -34 -10v = 24 + -34 Combine like terms: 24 + -34 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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