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Simplifying -92 = -5v + -7(v + 8) Reorder the terms: -92 = -5v + -7(8 + v) -92 = -5v + (8 * -7 + v * -7) -92 = -5v + (-56 + -7v) Reorder the terms: -92 = -56 + -5v + -7v Combine like terms: -5v + -7v = -12v -92 = -56 + -12v Solving -92 = -56 + -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. -92 + 12v = -56 + -12v + 12v Combine like terms: -12v + 12v = 0 -92 + 12v = -56 + 0 -92 + 12v = -56 Add '92' to each side of the equation. -92 + 92 + 12v = -56 + 92 Combine like terms: -92 + 92 = 0 0 + 12v = -56 + 92 12v = -56 + 92 Combine like terms: -56 + 92 = 36 12v = 36 Divide each side by '12'. v = 3 Simplifying v = 3
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