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Simplifying 5(v + -1) = -4v + 22 Reorder the terms: 5(-1 + v) = -4v + 22 (-1 * 5 + v * 5) = -4v + 22 (-5 + 5v) = -4v + 22 Reorder the terms: -5 + 5v = 22 + -4v Solving -5 + 5v = 22 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -5 + 5v + 4v = 22 + -4v + 4v Combine like terms: 5v + 4v = 9v -5 + 9v = 22 + -4v + 4v Combine like terms: -4v + 4v = 0 -5 + 9v = 22 + 0 -5 + 9v = 22 Add '5' to each side of the equation. -5 + 5 + 9v = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 9v = 22 + 5 9v = 22 + 5 Combine like terms: 22 + 5 = 27 9v = 27 Divide each side by '9'. v = 3 Simplifying v = 3
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