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Simplifying 4 + -2(5 + -2v) = 22 4 + (5 * -2 + -2v * -2) = 22 4 + (-10 + 4v) = 22 Combine like terms: 4 + -10 = -6 -6 + 4v = 22 Solving -6 + 4v = 22 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4v = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = 22 + 6 4v = 22 + 6 Combine like terms: 22 + 6 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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