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Simplifying 3(v + 4) = 34 + -8v Reorder the terms: 3(4 + v) = 34 + -8v (4 * 3 + v * 3) = 34 + -8v (12 + 3v) = 34 + -8v Solving 12 + 3v = 34 + -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. 12 + 3v + 8v = 34 + -8v + 8v Combine like terms: 3v + 8v = 11v 12 + 11v = 34 + -8v + 8v Combine like terms: -8v + 8v = 0 12 + 11v = 34 + 0 12 + 11v = 34 Add '-12' to each side of the equation. 12 + -12 + 11v = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11v = 34 + -12 11v = 34 + -12 Combine like terms: 34 + -12 = 22 11v = 22 Divide each side by '11'. v = 2 Simplifying v = 2
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