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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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