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Simplifying -4(-5v + 8) + -4v = 6(v + -4) + -2 Reorder the terms: -4(8 + -5v) + -4v = 6(v + -4) + -2 (8 * -4 + -5v * -4) + -4v = 6(v + -4) + -2 (-32 + 20v) + -4v = 6(v + -4) + -2 Combine like terms: 20v + -4v = 16v -32 + 16v = 6(v + -4) + -2 Reorder the terms: -32 + 16v = 6(-4 + v) + -2 -32 + 16v = (-4 * 6 + v * 6) + -2 -32 + 16v = (-24 + 6v) + -2 Reorder the terms: -32 + 16v = -24 + -2 + 6v Combine like terms: -24 + -2 = -26 -32 + 16v = -26 + 6v Solving -32 + 16v = -26 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -32 + 16v + -6v = -26 + 6v + -6v Combine like terms: 16v + -6v = 10v -32 + 10v = -26 + 6v + -6v Combine like terms: 6v + -6v = 0 -32 + 10v = -26 + 0 -32 + 10v = -26 Add '32' to each side of the equation. -32 + 32 + 10v = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 10v = -26 + 32 10v = -26 + 32 Combine like terms: -26 + 32 = 6 10v = 6 Divide each side by '10'. v = 0.6 Simplifying v = 0.6
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