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Simplifying -7 = 3(v + 3) + -5v Reorder the terms: -7 = 3(3 + v) + -5v -7 = (3 * 3 + v * 3) + -5v -7 = (9 + 3v) + -5v Combine like terms: 3v + -5v = -2v -7 = 9 + -2v Solving -7 = 9 + -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. -7 + 2v = 9 + -2v + 2v Combine like terms: -2v + 2v = 0 -7 + 2v = 9 + 0 -7 + 2v = 9 Add '7' to each side of the equation. -7 + 7 + 2v = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2v = 9 + 7 2v = 9 + 7 Combine like terms: 9 + 7 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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