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Simplifying 22 = 7(v + 2) + -3v Reorder the terms: 22 = 7(2 + v) + -3v 22 = (2 * 7 + v * 7) + -3v 22 = (14 + 7v) + -3v Combine like terms: 7v + -3v = 4v 22 = 14 + 4v Solving 22 = 14 + 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. 22 + -4v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 22 + -4v = 14 + 0 22 + -4v = 14 Add '-22' to each side of the equation. 22 + -22 + -4v = 14 + -22 Combine like terms: 22 + -22 = 0 0 + -4v = 14 + -22 -4v = 14 + -22 Combine like terms: 14 + -22 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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