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Simplifying -3(v + 4) + 4 = -6 + -2v Reorder the terms: -3(4 + v) + 4 = -6 + -2v (4 * -3 + v * -3) + 4 = -6 + -2v (-12 + -3v) + 4 = -6 + -2v Reorder the terms: -12 + 4 + -3v = -6 + -2v Combine like terms: -12 + 4 = -8 -8 + -3v = -6 + -2v Solving -8 + -3v = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -8 + -3v + 2v = -6 + -2v + 2v Combine like terms: -3v + 2v = -1v -8 + -1v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -8 + -1v = -6 + 0 -8 + -1v = -6 Add '8' to each side of the equation. -8 + 8 + -1v = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = -6 + 8 -1v = -6 + 8 Combine like terms: -6 + 8 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2
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