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Simplifying 13(v + -3) = 9 + v Reorder the terms: 13(-3 + v) = 9 + v (-3 * 13 + v * 13) = 9 + v (-39 + 13v) = 9 + v Solving -39 + 13v = 9 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -39 + 13v + -1v = 9 + v + -1v Combine like terms: 13v + -1v = 12v -39 + 12v = 9 + v + -1v Combine like terms: v + -1v = 0 -39 + 12v = 9 + 0 -39 + 12v = 9 Add '39' to each side of the equation. -39 + 39 + 12v = 9 + 39 Combine like terms: -39 + 39 = 0 0 + 12v = 9 + 39 12v = 9 + 39 Combine like terms: 9 + 39 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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