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Simplifying 3v + -2(7v + 3) = 4v + 22 Reorder the terms: 3v + -2(3 + 7v) = 4v + 22 3v + (3 * -2 + 7v * -2) = 4v + 22 3v + (-6 + -14v) = 4v + 22 Reorder the terms: -6 + 3v + -14v = 4v + 22 Combine like terms: 3v + -14v = -11v -6 + -11v = 4v + 22 Reorder the terms: -6 + -11v = 22 + 4v Solving -6 + -11v = 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. -6 + -11v + -4v = 22 + 4v + -4v Combine like terms: -11v + -4v = -15v -6 + -15v = 22 + 4v + -4v Combine like terms: 4v + -4v = 0 -6 + -15v = 22 + 0 -6 + -15v = 22 Add '6' to each side of the equation. -6 + 6 + -15v = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -15v = 22 + 6 -15v = 22 + 6 Combine like terms: 22 + 6 = 28 -15v = 28 Divide each side by '-15'. v = -1.866666667 Simplifying v = -1.866666667
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