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Simplifying 9(3 + v) + 36v = 13v (3 * 9 + v * 9) + 36v = 13v (27 + 9v) + 36v = 13v Combine like terms: 9v + 36v = 45v 27 + 45v = 13v Solving 27 + 45v = 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. 27 + 45v + -13v = 13v + -13v Combine like terms: 45v + -13v = 32v 27 + 32v = 13v + -13v Combine like terms: 13v + -13v = 0 27 + 32v = 0 Add '-27' to each side of the equation. 27 + -27 + 32v = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 32v = 0 + -27 32v = 0 + -27 Combine like terms: 0 + -27 = -27 32v = -27 Divide each side by '32'. v = -0.84375 Simplifying v = -0.84375
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