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Simplifying 3(v + -2) + -7v = -34 Reorder the terms: 3(-2 + v) + -7v = -34 (-2 * 3 + v * 3) + -7v = -34 (-6 + 3v) + -7v = -34 Combine like terms: 3v + -7v = -4v -6 + -4v = -34 Solving -6 + -4v = -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 + -4v = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = -34 + 6 -4v = -34 + 6 Combine like terms: -34 + 6 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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