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Simplifying 2(v + -4) + -8 = -3(-8v + 8) + -6v Reorder the terms: 2(-4 + v) + -8 = -3(-8v + 8) + -6v (-4 * 2 + v * 2) + -8 = -3(-8v + 8) + -6v (-8 + 2v) + -8 = -3(-8v + 8) + -6v Reorder the terms: -8 + -8 + 2v = -3(-8v + 8) + -6v Combine like terms: -8 + -8 = -16 -16 + 2v = -3(-8v + 8) + -6v Reorder the terms: -16 + 2v = -3(8 + -8v) + -6v -16 + 2v = (8 * -3 + -8v * -3) + -6v -16 + 2v = (-24 + 24v) + -6v Combine like terms: 24v + -6v = 18v -16 + 2v = -24 + 18v Solving -16 + 2v = -24 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -16 + 2v + -18v = -24 + 18v + -18v Combine like terms: 2v + -18v = -16v -16 + -16v = -24 + 18v + -18v Combine like terms: 18v + -18v = 0 -16 + -16v = -24 + 0 -16 + -16v = -24 Add '16' to each side of the equation. -16 + 16 + -16v = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -16v = -24 + 16 -16v = -24 + 16 Combine like terms: -24 + 16 = -8 -16v = -8 Divide each side by '-16'. v = 0.5 Simplifying v = 0.5
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