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Simplifying 3(v + 2) + -8v = -34 Reorder the terms: 3(2 + v) + -8v = -34 (2 * 3 + v * 3) + -8v = -34 (6 + 3v) + -8v = -34 Combine like terms: 3v + -8v = -5v 6 + -5v = -34 Solving 6 + -5v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5v = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = -34 + -6 -5v = -34 + -6 Combine like terms: -34 + -6 = -40 -5v = -40 Divide each side by '-5'. v = 8 Simplifying v = 8
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