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Simplifying -1(1 + -5v) + -1 = 22 + 8v (1 * -1 + -5v * -1) + -1 = 22 + 8v (-1 + 5v) + -1 = 22 + 8v Reorder the terms: -1 + -1 + 5v = 22 + 8v Combine like terms: -1 + -1 = -2 -2 + 5v = 22 + 8v Solving -2 + 5v = 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 + 5v + -8v = 22 + 8v + -8v Combine like terms: 5v + -8v = -3v -2 + -3v = 22 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + -3v = 22 + 0 -2 + -3v = 22 Add '2' to each side of the equation. -2 + 2 + -3v = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -3v = 22 + 2 -3v = 22 + 2 Combine like terms: 22 + 2 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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