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Simplifying -5(-5v + 9) + -4v = 5(v + -6) + -1 Reorder the terms: -5(9 + -5v) + -4v = 5(v + -6) + -1 (9 * -5 + -5v * -5) + -4v = 5(v + -6) + -1 (-45 + 25v) + -4v = 5(v + -6) + -1 Combine like terms: 25v + -4v = 21v -45 + 21v = 5(v + -6) + -1 Reorder the terms: -45 + 21v = 5(-6 + v) + -1 -45 + 21v = (-6 * 5 + v * 5) + -1 -45 + 21v = (-30 + 5v) + -1 Reorder the terms: -45 + 21v = -30 + -1 + 5v Combine like terms: -30 + -1 = -31 -45 + 21v = -31 + 5v Solving -45 + 21v = -31 + 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. -45 + 21v + -5v = -31 + 5v + -5v Combine like terms: 21v + -5v = 16v -45 + 16v = -31 + 5v + -5v Combine like terms: 5v + -5v = 0 -45 + 16v = -31 + 0 -45 + 16v = -31 Add '45' to each side of the equation. -45 + 45 + 16v = -31 + 45 Combine like terms: -45 + 45 = 0 0 + 16v = -31 + 45 16v = -31 + 45 Combine like terms: -31 + 45 = 14 16v = 14 Divide each side by '16'. v = 0.875 Simplifying v = 0.875
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