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Simplifying -4(3v + -3) + 9v = 6(v + 4) Reorder the terms: -4(-3 + 3v) + 9v = 6(v + 4) (-3 * -4 + 3v * -4) + 9v = 6(v + 4) (12 + -12v) + 9v = 6(v + 4) Combine like terms: -12v + 9v = -3v 12 + -3v = 6(v + 4) Reorder the terms: 12 + -3v = 6(4 + v) 12 + -3v = (4 * 6 + v * 6) 12 + -3v = (24 + 6v) Solving 12 + -3v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -3v + -6v = 24 + 6v + -6v Combine like terms: -3v + -6v = -9v 12 + -9v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -9v = 24 + 0 12 + -9v = 24 Add '-12' to each side of the equation. 12 + -12 + -9v = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -9v = 24 + -12 -9v = 24 + -12 Combine like terms: 24 + -12 = 12 -9v = 12 Divide each side by '-9'. v = -1.333333333 Simplifying v = -1.333333333
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