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Simplifying 2(v + 3) = -5v + -22 Reorder the terms: 2(3 + v) = -5v + -22 (3 * 2 + v * 2) = -5v + -22 (6 + 2v) = -5v + -22 Reorder the terms: 6 + 2v = -22 + -5v Solving 6 + 2v = -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 + 2v + 5v = -22 + -5v + 5v Combine like terms: 2v + 5v = 7v 6 + 7v = -22 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 7v = -22 + 0 6 + 7v = -22 Add '-6' to each side of the equation. 6 + -6 + 7v = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = -22 + -6 7v = -22 + -6 Combine like terms: -22 + -6 = -28 7v = -28 Divide each side by '7'. v = -4 Simplifying v = -4
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