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Simplifying -7v + 22 = -3(v + 2) Reorder the terms: 22 + -7v = -3(v + 2) Reorder the terms: 22 + -7v = -3(2 + v) 22 + -7v = (2 * -3 + v * -3) 22 + -7v = (-6 + -3v) Solving 22 + -7v = -6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 22 + -7v + 3v = -6 + -3v + 3v Combine like terms: -7v + 3v = -4v 22 + -4v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 22 + -4v = -6 + 0 22 + -4v = -6 Add '-22' to each side of the equation. 22 + -22 + -4v = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -4v = -6 + -22 -4v = -6 + -22 Combine like terms: -6 + -22 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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