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Simplifying 7v + 23 = 4v + 8v + -22 Reorder the terms: 23 + 7v = 4v + 8v + -22 Reorder the terms: 23 + 7v = -22 + 4v + 8v Combine like terms: 4v + 8v = 12v 23 + 7v = -22 + 12v Solving 23 + 7v = -22 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 23 + 7v + -12v = -22 + 12v + -12v Combine like terms: 7v + -12v = -5v 23 + -5v = -22 + 12v + -12v Combine like terms: 12v + -12v = 0 23 + -5v = -22 + 0 23 + -5v = -22 Add '-23' to each side of the equation. 23 + -23 + -5v = -22 + -23 Combine like terms: 23 + -23 = 0 0 + -5v = -22 + -23 -5v = -22 + -23 Combine like terms: -22 + -23 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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