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Simplifying 9v + 4v = 10(1 + -3v) + -3(-10 + -11v) Combine like terms: 9v + 4v = 13v 13v = 10(1 + -3v) + -3(-10 + -11v) 13v = (1 * 10 + -3v * 10) + -3(-10 + -11v) 13v = (10 + -30v) + -3(-10 + -11v) 13v = 10 + -30v + (-10 * -3 + -11v * -3) 13v = 10 + -30v + (30 + 33v) Reorder the terms: 13v = 10 + 30 + -30v + 33v Combine like terms: 10 + 30 = 40 13v = 40 + -30v + 33v Combine like terms: -30v + 33v = 3v 13v = 40 + 3v Solving 13v = 40 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 13v + -3v = 40 + 3v + -3v Combine like terms: 13v + -3v = 10v 10v = 40 + 3v + -3v Combine like terms: 3v + -3v = 0 10v = 40 + 0 10v = 40 Divide each side by '10'. v = 4 Simplifying v = 4
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