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Simplifying -6 = -5v + 3(v + -8) Reorder the terms: -6 = -5v + 3(-8 + v) -6 = -5v + (-8 * 3 + v * 3) -6 = -5v + (-24 + 3v) Reorder the terms: -6 = -24 + -5v + 3v Combine like terms: -5v + 3v = -2v -6 = -24 + -2v Solving -6 = -24 + -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. -6 + 2v = -24 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + 2v = -24 + 0 -6 + 2v = -24 Add '6' to each side of the equation. -6 + 6 + 2v = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 2v = -24 + 6 2v = -24 + 6 Combine like terms: -24 + 6 = -18 2v = -18 Divide each side by '2'. v = -9 Simplifying v = -9
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