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Simplifying 9(2 + v) + 34v = 13v (2 * 9 + v * 9) + 34v = 13v (18 + 9v) + 34v = 13v Combine like terms: 9v + 34v = 43v 18 + 43v = 13v Solving 18 + 43v = 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 18 + 43v + -13v = 13v + -13v Combine like terms: 43v + -13v = 30v 18 + 30v = 13v + -13v Combine like terms: 13v + -13v = 0 18 + 30v = 0 Add '-18' to each side of the equation. 18 + -18 + 30v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 30v = 0 + -18 30v = 0 + -18 Combine like terms: 0 + -18 = -18 30v = -18 Divide each side by '30'. v = -0.6 Simplifying v = -0.6
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