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Simplifying -6v + -2(v + 8) = 6(-1v + -4) + -6v Reorder the terms: -6v + -2(8 + v) = 6(-1v + -4) + -6v -6v + (8 * -2 + v * -2) = 6(-1v + -4) + -6v -6v + (-16 + -2v) = 6(-1v + -4) + -6v Reorder the terms: -16 + -6v + -2v = 6(-1v + -4) + -6v Combine like terms: -6v + -2v = -8v -16 + -8v = 6(-1v + -4) + -6v Reorder the terms: -16 + -8v = 6(-4 + -1v) + -6v -16 + -8v = (-4 * 6 + -1v * 6) + -6v -16 + -8v = (-24 + -6v) + -6v Combine like terms: -6v + -6v = -12v -16 + -8v = -24 + -12v Solving -16 + -8v = -24 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -16 + -8v + 12v = -24 + -12v + 12v Combine like terms: -8v + 12v = 4v -16 + 4v = -24 + -12v + 12v Combine like terms: -12v + 12v = 0 -16 + 4v = -24 + 0 -16 + 4v = -24 Add '16' to each side of the equation. -16 + 16 + 4v = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 4v = -24 + 16 4v = -24 + 16 Combine like terms: -24 + 16 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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