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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 = -14v -22 + -14v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -22 + -14v = 6 + 0 -22 + -14v = 6 Add '22' to each side of the equation. -22 + 22 + -14v = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -14v = 6 + 22 -14v = 6 + 22 Combine like terms: 6 + 22 = 28 -14v = 28 Divide each side by '-14'. v = -2 Simplifying v = -2
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