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Simplifying -6v + 22 = 8(v + 1) Reorder the terms: 22 + -6v = 8(v + 1) Reorder the terms: 22 + -6v = 8(1 + v) 22 + -6v = (1 * 8 + v * 8) 22 + -6v = (8 + 8v) Solving 22 + -6v = 8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 22 + -6v + -8v = 8 + 8v + -8v Combine like terms: -6v + -8v = -14v 22 + -14v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 22 + -14v = 8 + 0 22 + -14v = 8 Add '-22' to each side of the equation. 22 + -22 + -14v = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -14v = 8 + -22 -14v = 8 + -22 Combine like terms: 8 + -22 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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