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