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Simplifying -8v + -22 = -6(v + 1) Reorder the terms: -22 + -8v = -6(v + 1) Reorder the terms: -22 + -8v = -6(1 + v) -22 + -8v = (1 * -6 + v * -6) -22 + -8v = (-6 + -6v) Solving -22 + -8v = -6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -22 + -8v + 6v = -6 + -6v + 6v Combine like terms: -8v + 6v = -2v -22 + -2v = -6 + -6v + 6v Combine like terms: -6v + 6v = 0 -22 + -2v = -6 + 0 -22 + -2v = -6 Add '22' to each side of the equation. -22 + 22 + -2v = -6 + 22 Combine like terms: -22 + 22 = 0 0 + -2v = -6 + 22 -2v = -6 + 22 Combine like terms: -6 + 22 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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