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Simplifying 2(v + -1) = 8v + 22 Reorder the terms: 2(-1 + v) = 8v + 22 (-1 * 2 + v * 2) = 8v + 22 (-2 + 2v) = 8v + 22 Reorder the terms: -2 + 2v = 22 + 8v Solving -2 + 2v = 22 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -2 + 2v + -8v = 22 + 8v + -8v Combine like terms: 2v + -8v = -6v -2 + -6v = 22 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + -6v = 22 + 0 -2 + -6v = 22 Add '2' to each side of the equation. -2 + 2 + -6v = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -6v = 22 + 2 -6v = 22 + 2 Combine like terms: 22 + 2 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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