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Simplifying (v + -5) + -3 = -5(-9v + 6) + -9v Reorder the terms: (-5 + v) + -3 = -5(-9v + 6) + -9v Remove parenthesis around (-5 + v) -5 + v + -3 = -5(-9v + 6) + -9v Reorder the terms: -5 + -3 + v = -5(-9v + 6) + -9v Combine like terms: -5 + -3 = -8 -8 + v = -5(-9v + 6) + -9v Reorder the terms: -8 + v = -5(6 + -9v) + -9v -8 + v = (6 * -5 + -9v * -5) + -9v -8 + v = (-30 + 45v) + -9v Combine like terms: 45v + -9v = 36v -8 + v = -30 + 36v Solving -8 + v = -30 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. -8 + v + -36v = -30 + 36v + -36v Combine like terms: v + -36v = -35v -8 + -35v = -30 + 36v + -36v Combine like terms: 36v + -36v = 0 -8 + -35v = -30 + 0 -8 + -35v = -30 Add '8' to each side of the equation. -8 + 8 + -35v = -30 + 8 Combine like terms: -8 + 8 = 0 0 + -35v = -30 + 8 -35v = -30 + 8 Combine like terms: -30 + 8 = -22 -35v = -22 Divide each side by '-35'. v = 0.6285714286 Simplifying v = 0.6285714286
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