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Simplifying 7(v + 2) = -5v + 22 Reorder the terms: 7(2 + v) = -5v + 22 (2 * 7 + v * 7) = -5v + 22 (14 + 7v) = -5v + 22 Reorder the terms: 14 + 7v = 22 + -5v Solving 14 + 7v = 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. 14 + 7v + 5v = 22 + -5v + 5v Combine like terms: 7v + 5v = 12v 14 + 12v = 22 + -5v + 5v Combine like terms: -5v + 5v = 0 14 + 12v = 22 + 0 14 + 12v = 22 Add '-14' to each side of the equation. 14 + -14 + 12v = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 12v = 22 + -14 12v = 22 + -14 Combine like terms: 22 + -14 = 8 12v = 8 Divide each side by '12'. v = 0.6666666667 Simplifying v = 0.6666666667
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