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Simplifying 3(v + -4) = 9 + v Reorder the terms: 3(-4 + v) = 9 + v (-4 * 3 + v * 3) = 9 + v (-12 + 3v) = 9 + v Solving -12 + 3v = 9 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -12 + 3v + -1v = 9 + v + -1v Combine like terms: 3v + -1v = 2v -12 + 2v = 9 + v + -1v Combine like terms: v + -1v = 0 -12 + 2v = 9 + 0 -12 + 2v = 9 Add '12' to each side of the equation. -12 + 12 + 2v = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 2v = 9 + 12 2v = 9 + 12 Combine like terms: 9 + 12 = 21 2v = 21 Divide each side by '2'. v = 10.5 Simplifying v = 10.5
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