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Simplifying -11 = 5(v + -7) + -8v Reorder the terms: -11 = 5(-7 + v) + -8v -11 = (-7 * 5 + v * 5) + -8v -11 = (-35 + 5v) + -8v Combine like terms: 5v + -8v = -3v -11 = -35 + -3v Solving -11 = -35 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -11 + 3v = -35 + -3v + 3v Combine like terms: -3v + 3v = 0 -11 + 3v = -35 + 0 -11 + 3v = -35 Add '11' to each side of the equation. -11 + 11 + 3v = -35 + 11 Combine like terms: -11 + 11 = 0 0 + 3v = -35 + 11 3v = -35 + 11 Combine like terms: -35 + 11 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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