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Simplifying 3(v + 2) = -5v + 22 Reorder the terms: 3(2 + v) = -5v + 22 (2 * 3 + v * 3) = -5v + 22 (6 + 3v) = -5v + 22 Reorder the terms: 6 + 3v = 22 + -5v Solving 6 + 3v = 22 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 6 + 3v + 5v = 22 + -5v + 5v Combine like terms: 3v + 5v = 8v 6 + 8v = 22 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 8v = 22 + 0 6 + 8v = 22 Add '-6' to each side of the equation. 6 + -6 + 8v = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 8v = 22 + -6 8v = 22 + -6 Combine like terms: 22 + -6 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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