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Simplifying 6(v + 2) = 8v + 22 Reorder the terms: 6(2 + v) = 8v + 22 (2 * 6 + v * 6) = 8v + 22 (12 + 6v) = 8v + 22 Reorder the terms: 12 + 6v = 22 + 8v Solving 12 + 6v = 22 + 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. 12 + 6v + -8v = 22 + 8v + -8v Combine like terms: 6v + -8v = -2v 12 + -2v = 22 + 8v + -8v Combine like terms: 8v + -8v = 0 12 + -2v = 22 + 0 12 + -2v = 22 Add '-12' to each side of the equation. 12 + -12 + -2v = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 22 + -12 -2v = 22 + -12 Combine like terms: 22 + -12 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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