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Simplifying -4(-4v + 8) + -4v = 4(v + -7) + -6 Reorder the terms: -4(8 + -4v) + -4v = 4(v + -7) + -6 (8 * -4 + -4v * -4) + -4v = 4(v + -7) + -6 (-32 + 16v) + -4v = 4(v + -7) + -6 Combine like terms: 16v + -4v = 12v -32 + 12v = 4(v + -7) + -6 Reorder the terms: -32 + 12v = 4(-7 + v) + -6 -32 + 12v = (-7 * 4 + v * 4) + -6 -32 + 12v = (-28 + 4v) + -6 Reorder the terms: -32 + 12v = -28 + -6 + 4v Combine like terms: -28 + -6 = -34 -32 + 12v = -34 + 4v Solving -32 + 12v = -34 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -32 + 12v + -4v = -34 + 4v + -4v Combine like terms: 12v + -4v = 8v -32 + 8v = -34 + 4v + -4v Combine like terms: 4v + -4v = 0 -32 + 8v = -34 + 0 -32 + 8v = -34 Add '32' to each side of the equation. -32 + 32 + 8v = -34 + 32 Combine like terms: -32 + 32 = 0 0 + 8v = -34 + 32 8v = -34 + 32 Combine like terms: -34 + 32 = -2 8v = -2 Divide each side by '8'. v = -0.25 Simplifying v = -0.25
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