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Simplifying -5 = -5v + 2(v + -7) Reorder the terms: -5 = -5v + 2(-7 + v) -5 = -5v + (-7 * 2 + v * 2) -5 = -5v + (-14 + 2v) Reorder the terms: -5 = -14 + -5v + 2v Combine like terms: -5v + 2v = -3v -5 = -14 + -3v Solving -5 = -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. -5 + 3v = -14 + -3v + 3v Combine like terms: -3v + 3v = 0 -5 + 3v = -14 + 0 -5 + 3v = -14 Add '5' to each side of the equation. -5 + 5 + 3v = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = -14 + 5 3v = -14 + 5 Combine like terms: -14 + 5 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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