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Simplifying -9 = 3(v + -7) + -5v Reorder the terms: -9 = 3(-7 + v) + -5v -9 = (-7 * 3 + v * 3) + -5v -9 = (-21 + 3v) + -5v Combine like terms: 3v + -5v = -2v -9 = -21 + -2v Solving -9 = -21 + -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. -9 + 2v = -21 + -2v + 2v Combine like terms: -2v + 2v = 0 -9 + 2v = -21 + 0 -9 + 2v = -21 Add '9' to each side of the equation. -9 + 9 + 2v = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 2v = -21 + 9 2v = -21 + 9 Combine like terms: -21 + 9 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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