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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 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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