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Simplifying -4(v + 6) + 2v = 8(6 + -1v) Reorder the terms: -4(6 + v) + 2v = 8(6 + -1v) (6 * -4 + v * -4) + 2v = 8(6 + -1v) (-24 + -4v) + 2v = 8(6 + -1v) Combine like terms: -4v + 2v = -2v -24 + -2v = 8(6 + -1v) -24 + -2v = (6 * 8 + -1v * 8) -24 + -2v = (48 + -8v) Solving -24 + -2v = 48 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -24 + -2v + 8v = 48 + -8v + 8v Combine like terms: -2v + 8v = 6v -24 + 6v = 48 + -8v + 8v Combine like terms: -8v + 8v = 0 -24 + 6v = 48 + 0 -24 + 6v = 48 Add '24' to each side of the equation. -24 + 24 + 6v = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 6v = 48 + 24 6v = 48 + 24 Combine like terms: 48 + 24 = 72 6v = 72 Divide each side by '6'. v = 12 Simplifying v = 12
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