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Simplifying 12v + 13 = 4v + 69 Reorder the terms: 13 + 12v = 4v + 69 Reorder the terms: 13 + 12v = 69 + 4v Solving 13 + 12v = 69 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 13 + 12v + -4v = 69 + 4v + -4v Combine like terms: 12v + -4v = 8v 13 + 8v = 69 + 4v + -4v Combine like terms: 4v + -4v = 0 13 + 8v = 69 + 0 13 + 8v = 69 Add '-13' to each side of the equation. 13 + -13 + 8v = 69 + -13 Combine like terms: 13 + -13 = 0 0 + 8v = 69 + -13 8v = 69 + -13 Combine like terms: 69 + -13 = 56 8v = 56 Divide each side by '8'. v = 7 Simplifying v = 7
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