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Simplifying -6v + -22 = -2(v + 9) Reorder the terms: -22 + -6v = -2(v + 9) Reorder the terms: -22 + -6v = -2(9 + v) -22 + -6v = (9 * -2 + v * -2) -22 + -6v = (-18 + -2v) Solving -22 + -6v = -18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -22 + -6v + 2v = -18 + -2v + 2v Combine like terms: -6v + 2v = -4v -22 + -4v = -18 + -2v + 2v Combine like terms: -2v + 2v = 0 -22 + -4v = -18 + 0 -22 + -4v = -18 Add '22' to each side of the equation. -22 + 22 + -4v = -18 + 22 Combine like terms: -22 + 22 = 0 0 + -4v = -18 + 22 -4v = -18 + 22 Combine like terms: -18 + 22 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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