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Simplifying -6(v + 1) = -2(5v + -4) + 8v Reorder the terms: -6(1 + v) = -2(5v + -4) + 8v (1 * -6 + v * -6) = -2(5v + -4) + 8v (-6 + -6v) = -2(5v + -4) + 8v Reorder the terms: -6 + -6v = -2(-4 + 5v) + 8v -6 + -6v = (-4 * -2 + 5v * -2) + 8v -6 + -6v = (8 + -10v) + 8v Combine like terms: -10v + 8v = -2v -6 + -6v = 8 + -2v Solving -6 + -6v = 8 + -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 + -6v + 2v = 8 + -2v + 2v Combine like terms: -6v + 2v = -4v -6 + -4v = 8 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + -4v = 8 + 0 -6 + -4v = 8 Add '6' to each side of the equation. -6 + 6 + -4v = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -4v = 8 + 6 -4v = 8 + 6 Combine like terms: 8 + 6 = 14 -4v = 14 Divide each side by '-4'. v = -3.5 Simplifying v = -3.5
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