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Simplifying -7(-3v + 8) + -2v = 5(v + -7) + -9 Reorder the terms: -7(8 + -3v) + -2v = 5(v + -7) + -9 (8 * -7 + -3v * -7) + -2v = 5(v + -7) + -9 (-56 + 21v) + -2v = 5(v + -7) + -9 Combine like terms: 21v + -2v = 19v -56 + 19v = 5(v + -7) + -9 Reorder the terms: -56 + 19v = 5(-7 + v) + -9 -56 + 19v = (-7 * 5 + v * 5) + -9 -56 + 19v = (-35 + 5v) + -9 Reorder the terms: -56 + 19v = -35 + -9 + 5v Combine like terms: -35 + -9 = -44 -56 + 19v = -44 + 5v Solving -56 + 19v = -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. -56 + 19v + -5v = -44 + 5v + -5v Combine like terms: 19v + -5v = 14v -56 + 14v = -44 + 5v + -5v Combine like terms: 5v + -5v = 0 -56 + 14v = -44 + 0 -56 + 14v = -44 Add '56' to each side of the equation. -56 + 56 + 14v = -44 + 56 Combine like terms: -56 + 56 = 0 0 + 14v = -44 + 56 14v = -44 + 56 Combine like terms: -44 + 56 = 12 14v = 12 Divide each side by '14'. v = 0.8571428571 Simplifying v = 0.8571428571
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