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Simplifying -2v + 23 = -5(v + -7) Reorder the terms: 23 + -2v = -5(v + -7) Reorder the terms: 23 + -2v = -5(-7 + v) 23 + -2v = (-7 * -5 + v * -5) 23 + -2v = (35 + -5v) Solving 23 + -2v = 35 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 23 + -2v + 5v = 35 + -5v + 5v Combine like terms: -2v + 5v = 3v 23 + 3v = 35 + -5v + 5v Combine like terms: -5v + 5v = 0 23 + 3v = 35 + 0 23 + 3v = 35 Add '-23' to each side of the equation. 23 + -23 + 3v = 35 + -23 Combine like terms: 23 + -23 = 0 0 + 3v = 35 + -23 3v = 35 + -23 Combine like terms: 35 + -23 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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