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Simplifying 7(v + -5) + -5v = -23 Reorder the terms: 7(-5 + v) + -5v = -23 (-5 * 7 + v * 7) + -5v = -23 (-35 + 7v) + -5v = -23 Combine like terms: 7v + -5v = 2v -35 + 2v = -23 Solving -35 + 2v = -23 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2v = -23 + 35 Combine like terms: -35 + 35 = 0 0 + 2v = -23 + 35 2v = -23 + 35 Combine like terms: -23 + 35 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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