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Simplifying 2(v + -3) + -7v = 34 Reorder the terms: 2(-3 + v) + -7v = 34 (-3 * 2 + v * 2) + -7v = 34 (-6 + 2v) + -7v = 34 Combine like terms: 2v + -7v = -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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