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Simplifying 3(3v + 2) = 4(3v + -3) Reorder the terms: 3(2 + 3v) = 4(3v + -3) (2 * 3 + 3v * 3) = 4(3v + -3) (6 + 9v) = 4(3v + -3) Reorder the terms: 6 + 9v = 4(-3 + 3v) 6 + 9v = (-3 * 4 + 3v * 4) 6 + 9v = (-12 + 12v) Solving 6 + 9v = -12 + 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. 6 + 9v + -12v = -12 + 12v + -12v Combine like terms: 9v + -12v = -3v 6 + -3v = -12 + 12v + -12v Combine like terms: 12v + -12v = 0 6 + -3v = -12 + 0 6 + -3v = -12 Add '-6' to each side of the equation. 6 + -6 + -3v = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3v = -12 + -6 -3v = -12 + -6 Combine like terms: -12 + -6 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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