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Simplifying -23 = -5v + 2(v + -7) Reorder the terms: -23 = -5v + 2(-7 + v) -23 = -5v + (-7 * 2 + v * 2) -23 = -5v + (-14 + 2v) Reorder the terms: -23 = -14 + -5v + 2v Combine like terms: -5v + 2v = -3v -23 = -14 + -3v Solving -23 = -14 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -23 + 3v = -14 + -3v + 3v Combine like terms: -3v + 3v = 0 -23 + 3v = -14 + 0 -23 + 3v = -14 Add '23' to each side of the equation. -23 + 23 + 3v = -14 + 23 Combine like terms: -23 + 23 = 0 0 + 3v = -14 + 23 3v = -14 + 23 Combine like terms: -14 + 23 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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