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Simplifying 3(v + 3) = -7(3v + -3) + 9v Reorder the terms: 3(3 + v) = -7(3v + -3) + 9v (3 * 3 + v * 3) = -7(3v + -3) + 9v (9 + 3v) = -7(3v + -3) + 9v Reorder the terms: 9 + 3v = -7(-3 + 3v) + 9v 9 + 3v = (-3 * -7 + 3v * -7) + 9v 9 + 3v = (21 + -21v) + 9v Combine like terms: -21v + 9v = -12v 9 + 3v = 21 + -12v Solving 9 + 3v = 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 + 3v + 12v = 21 + -12v + 12v Combine like terms: 3v + 12v = 15v 9 + 15v = 21 + -12v + 12v Combine like terms: -12v + 12v = 0 9 + 15v = 21 + 0 9 + 15v = 21 Add '-9' to each side of the equation. 9 + -9 + 15v = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 15v = 21 + -9 15v = 21 + -9 Combine like terms: 21 + -9 = 12 15v = 12 Divide each side by '15'. v = 0.8 Simplifying v = 0.8
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