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Simplifying -6(v + 4) = -8(1 + v) Reorder the terms: -6(4 + v) = -8(1 + v) (4 * -6 + v * -6) = -8(1 + v) (-24 + -6v) = -8(1 + v) -24 + -6v = (1 * -8 + v * -8) -24 + -6v = (-8 + -8v) Solving -24 + -6v = -8 + -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 + -6v + 8v = -8 + -8v + 8v Combine like terms: -6v + 8v = 2v -24 + 2v = -8 + -8v + 8v Combine like terms: -8v + 8v = 0 -24 + 2v = -8 + 0 -24 + 2v = -8 Add '24' to each side of the equation. -24 + 24 + 2v = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -8 + 24 2v = -8 + 24 Combine like terms: -8 + 24 = 16 2v = 16 Divide each side by '2'. v = 8 Simplifying v = 8
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