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Simplifying 2(v + -2) + -7v = -34 Reorder the terms: 2(-2 + v) + -7v = -34 (-2 * 2 + v * 2) + -7v = -34 (-4 + 2v) + -7v = -34 Combine like terms: 2v + -7v = -5v -4 + -5v = -34 Solving -4 + -5v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5v = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = -34 + 4 -5v = -34 + 4 Combine like terms: -34 + 4 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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