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Simplifying -3(4v + 4) + 3v = -6v + 9 Reorder the terms: -3(4 + 4v) + 3v = -6v + 9 (4 * -3 + 4v * -3) + 3v = -6v + 9 (-12 + -12v) + 3v = -6v + 9 Combine like terms: -12v + 3v = -9v -12 + -9v = -6v + 9 Reorder the terms: -12 + -9v = 9 + -6v Solving -12 + -9v = 9 + -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 + -9v + 6v = 9 + -6v + 6v Combine like terms: -9v + 6v = -3v -12 + -3v = 9 + -6v + 6v Combine like terms: -6v + 6v = 0 -12 + -3v = 9 + 0 -12 + -3v = 9 Add '12' to each side of the equation. -12 + 12 + -3v = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3v = 9 + 12 -3v = 9 + 12 Combine like terms: 9 + 12 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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