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Simplifying -8 = -5v + 3(v + -4) Reorder the terms: -8 = -5v + 3(-4 + v) -8 = -5v + (-4 * 3 + v * 3) -8 = -5v + (-12 + 3v) Reorder the terms: -8 = -12 + -5v + 3v Combine like terms: -5v + 3v = -2v -8 = -12 + -2v Solving -8 = -12 + -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 + 2v = -12 + -2v + 2v Combine like terms: -2v + 2v = 0 -8 + 2v = -12 + 0 -8 + 2v = -12 Add '8' to each side of the equation. -8 + 8 + 2v = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = -12 + 8 2v = -12 + 8 Combine like terms: -12 + 8 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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