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Simplifying 22 = 2v + 6(v + -3) Reorder the terms: 22 = 2v + 6(-3 + v) 22 = 2v + (-3 * 6 + v * 6) 22 = 2v + (-18 + 6v) Reorder the terms: 22 = -18 + 2v + 6v Combine like terms: 2v + 6v = 8v 22 = -18 + 8v Solving 22 = -18 + 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 + -8v = -18 + 8v + -8v Combine like terms: 8v + -8v = 0 22 + -8v = -18 + 0 22 + -8v = -18 Add '-22' to each side of the equation. 22 + -22 + -8v = -18 + -22 Combine like terms: 22 + -22 = 0 0 + -8v = -18 + -22 -8v = -18 + -22 Combine like terms: -18 + -22 = -40 -8v = -40 Divide each side by '-8'. v = 5 Simplifying v = 5
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