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Simplifying 7(v + -2) + -5v = -34 Reorder the terms: 7(-2 + v) + -5v = -34 (-2 * 7 + v * 7) + -5v = -34 (-14 + 7v) + -5v = -34 Combine like terms: 7v + -5v = 2v -14 + 2v = -34 Solving -14 + 2v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2v = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 2v = -34 + 14 2v = -34 + 14 Combine like terms: -34 + 14 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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