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Simplifying 6(v + 3) = 8v + 22 Reorder the terms: 6(3 + v) = 8v + 22 (3 * 6 + v * 6) = 8v + 22 (18 + 6v) = 8v + 22 Reorder the terms: 18 + 6v = 22 + 8v Solving 18 + 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. 18 + 6v + -8v = 22 + 8v + -8v Combine like terms: 6v + -8v = -2v 18 + -2v = 22 + 8v + -8v Combine like terms: 8v + -8v = 0 18 + -2v = 22 + 0 18 + -2v = 22 Add '-18' to each side of the equation. 18 + -18 + -2v = 22 + -18 Combine like terms: 18 + -18 = 0 0 + -2v = 22 + -18 -2v = 22 + -18 Combine like terms: 22 + -18 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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