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Simplifying -2v + 8(-7 + v) = 10 + -6v -2v + (-7 * 8 + v * 8) = 10 + -6v -2v + (-56 + 8v) = 10 + -6v Reorder the terms: -56 + -2v + 8v = 10 + -6v Combine like terms: -2v + 8v = 6v -56 + 6v = 10 + -6v Solving -56 + 6v = 10 + -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. -56 + 6v + 6v = 10 + -6v + 6v Combine like terms: 6v + 6v = 12v -56 + 12v = 10 + -6v + 6v Combine like terms: -6v + 6v = 0 -56 + 12v = 10 + 0 -56 + 12v = 10 Add '56' to each side of the equation. -56 + 56 + 12v = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 12v = 10 + 56 12v = 10 + 56 Combine like terms: 10 + 56 = 66 12v = 66 Divide each side by '12'. v = 5.5 Simplifying v = 5.5
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