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Simplifying 3(2v + 3) = -3(-3v + 4) Reorder the terms: 3(3 + 2v) = -3(-3v + 4) (3 * 3 + 2v * 3) = -3(-3v + 4) (9 + 6v) = -3(-3v + 4) Reorder the terms: 9 + 6v = -3(4 + -3v) 9 + 6v = (4 * -3 + -3v * -3) 9 + 6v = (-12 + 9v) Solving 9 + 6v = -12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 9 + 6v + -9v = -12 + 9v + -9v Combine like terms: 6v + -9v = -3v 9 + -3v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 9 + -3v = -12 + 0 9 + -3v = -12 Add '-9' to each side of the equation. 9 + -9 + -3v = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = -12 + -9 -3v = -12 + -9 Combine like terms: -12 + -9 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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