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Simplifying 9 = 7(v + 3) + 5v Reorder the terms: 9 = 7(3 + v) + 5v 9 = (3 * 7 + v * 7) + 5v 9 = (21 + 7v) + 5v Combine like terms: 7v + 5v = 12v 9 = 21 + 12v Solving 9 = 21 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 9 + -12v = 21 + 12v + -12v Combine like terms: 12v + -12v = 0 9 + -12v = 21 + 0 9 + -12v = 21 Add '-9' to each side of the equation. 9 + -9 + -12v = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -12v = 21 + -9 -12v = 21 + -9 Combine like terms: 21 + -9 = 12 -12v = 12 Divide each side by '-12'. v = -1 Simplifying v = -1
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