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Simplifying -5v + 22 = -2(v + -2) Reorder the terms: 22 + -5v = -2(v + -2) Reorder the terms: 22 + -5v = -2(-2 + v) 22 + -5v = (-2 * -2 + v * -2) 22 + -5v = (4 + -2v) Solving 22 + -5v = 4 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 22 + -5v + 2v = 4 + -2v + 2v Combine like terms: -5v + 2v = -3v 22 + -3v = 4 + -2v + 2v Combine like terms: -2v + 2v = 0 22 + -3v = 4 + 0 22 + -3v = 4 Add '-22' to each side of the equation. 22 + -22 + -3v = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -3v = 4 + -22 -3v = 4 + -22 Combine like terms: 4 + -22 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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