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Simplifying 8v + 13 = 7v + 5v + -11 Reorder the terms: 13 + 8v = 7v + 5v + -11 Reorder the terms: 13 + 8v = -11 + 7v + 5v Combine like terms: 7v + 5v = 12v 13 + 8v = -11 + 12v Solving 13 + 8v = -11 + 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. 13 + 8v + -12v = -11 + 12v + -12v Combine like terms: 8v + -12v = -4v 13 + -4v = -11 + 12v + -12v Combine like terms: 12v + -12v = 0 13 + -4v = -11 + 0 13 + -4v = -11 Add '-13' to each side of the equation. 13 + -13 + -4v = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -4v = -11 + -13 -4v = -11 + -13 Combine like terms: -11 + -13 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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