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Simplifying -23 = 3(v + -5) + -5v Reorder the terms: -23 = 3(-5 + v) + -5v -23 = (-5 * 3 + v * 3) + -5v -23 = (-15 + 3v) + -5v Combine like terms: 3v + -5v = -2v -23 = -15 + -2v Solving -23 = -15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -23 + 2v = -15 + -2v + 2v Combine like terms: -2v + 2v = 0 -23 + 2v = -15 + 0 -23 + 2v = -15 Add '23' to each side of the equation. -23 + 23 + 2v = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 2v = -15 + 23 2v = -15 + 23 Combine like terms: -15 + 23 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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