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Simplifying -4(-5v + 9) + -9v = 5(v + -8) + -4 Reorder the terms: -4(9 + -5v) + -9v = 5(v + -8) + -4 (9 * -4 + -5v * -4) + -9v = 5(v + -8) + -4 (-36 + 20v) + -9v = 5(v + -8) + -4 Combine like terms: 20v + -9v = 11v -36 + 11v = 5(v + -8) + -4 Reorder the terms: -36 + 11v = 5(-8 + v) + -4 -36 + 11v = (-8 * 5 + v * 5) + -4 -36 + 11v = (-40 + 5v) + -4 Reorder the terms: -36 + 11v = -40 + -4 + 5v Combine like terms: -40 + -4 = -44 -36 + 11v = -44 + 5v Solving -36 + 11v = -44 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -36 + 11v + -5v = -44 + 5v + -5v Combine like terms: 11v + -5v = 6v -36 + 6v = -44 + 5v + -5v Combine like terms: 5v + -5v = 0 -36 + 6v = -44 + 0 -36 + 6v = -44 Add '36' to each side of the equation. -36 + 36 + 6v = -44 + 36 Combine like terms: -36 + 36 = 0 0 + 6v = -44 + 36 6v = -44 + 36 Combine like terms: -44 + 36 = -8 6v = -8 Divide each side by '6'. v = -1.333333333 Simplifying v = -1.333333333
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