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Simplifying -8v + -4 = 4(-3v + -8) Reorder the terms: -4 + -8v = 4(-3v + -8) Reorder the terms: -4 + -8v = 4(-8 + -3v) -4 + -8v = (-8 * 4 + -3v * 4) -4 + -8v = (-32 + -12v) Solving -4 + -8v = -32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -4 + -8v + 12v = -32 + -12v + 12v Combine like terms: -8v + 12v = 4v -4 + 4v = -32 + -12v + 12v Combine like terms: -12v + 12v = 0 -4 + 4v = -32 + 0 -4 + 4v = -32 Add '4' to each side of the equation. -4 + 4 + 4v = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 4v = -32 + 4 4v = -32 + 4 Combine like terms: -32 + 4 = -28 4v = -28 Divide each side by '4'. v = -7 Simplifying v = -7
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