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Simplifying 3(v + -3) + -8v = -34 Reorder the terms: 3(-3 + v) + -8v = -34 (-3 * 3 + v * 3) + -8v = -34 (-9 + 3v) + -8v = -34 Combine like terms: 3v + -8v = -5v -9 + -5v = -34 Solving -9 + -5v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5v = -34 + 9 Combine like terms: -9 + 9 = 0 0 + -5v = -34 + 9 -5v = -34 + 9 Combine like terms: -34 + 9 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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