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Simplifying -3v + -22 = -7(v + 2) Reorder the terms: -22 + -3v = -7(v + 2) Reorder the terms: -22 + -3v = -7(2 + v) -22 + -3v = (2 * -7 + v * -7) -22 + -3v = (-14 + -7v) Solving -22 + -3v = -14 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -22 + -3v + 7v = -14 + -7v + 7v Combine like terms: -3v + 7v = 4v -22 + 4v = -14 + -7v + 7v Combine like terms: -7v + 7v = 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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