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Simplifying -3(v + -4) = 8v + 34 Reorder the terms: -3(-4 + v) = 8v + 34 (-4 * -3 + v * -3) = 8v + 34 (12 + -3v) = 8v + 34 Reorder the terms: 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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