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Simplifying 9(2v + 5) = 4(2v + -10) Reorder the terms: 9(5 + 2v) = 4(2v + -10) (5 * 9 + 2v * 9) = 4(2v + -10) (45 + 18v) = 4(2v + -10) Reorder the terms: 45 + 18v = 4(-10 + 2v) 45 + 18v = (-10 * 4 + 2v * 4) 45 + 18v = (-40 + 8v) Solving 45 + 18v = -40 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 45 + 18v + -8v = -40 + 8v + -8v Combine like terms: 18v + -8v = 10v 45 + 10v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 45 + 10v = -40 + 0 45 + 10v = -40 Add '-45' to each side of the equation. 45 + -45 + 10v = -40 + -45 Combine like terms: 45 + -45 = 0 0 + 10v = -40 + -45 10v = -40 + -45 Combine like terms: -40 + -45 = -85 10v = -85 Divide each side by '10'. v = -8.5 Simplifying v = -8.5
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