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Simplifying -22 + 4v = 7(4 + -3v) -22 + 4v = (4 * 7 + -3v * 7) -22 + 4v = (28 + -21v) Solving -22 + 4v = 28 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -22 + 4v + 21v = 28 + -21v + 21v Combine like terms: 4v + 21v = 25v -22 + 25v = 28 + -21v + 21v Combine like terms: -21v + 21v = 0 -22 + 25v = 28 + 0 -22 + 25v = 28 Add '22' to each side of the equation. -22 + 22 + 25v = 28 + 22 Combine like terms: -22 + 22 = 0 0 + 25v = 28 + 22 25v = 28 + 22 Combine like terms: 28 + 22 = 50 25v = 50 Divide each side by '25'. v = 2 Simplifying v = 2
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