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Simplifying 9 = -5v + 3(v + 7) Reorder the terms: 9 = -5v + 3(7 + v) 9 = -5v + (7 * 3 + v * 3) 9 = -5v + (21 + 3v) Reorder the terms: 9 = 21 + -5v + 3v Combine like terms: -5v + 3v = -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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