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Simplifying -3(-8v + 7) + -3v = 5(v + -5) + -8 Reorder the terms: -3(7 + -8v) + -3v = 5(v + -5) + -8 (7 * -3 + -8v * -3) + -3v = 5(v + -5) + -8 (-21 + 24v) + -3v = 5(v + -5) + -8 Combine like terms: 24v + -3v = 21v -21 + 21v = 5(v + -5) + -8 Reorder the terms: -21 + 21v = 5(-5 + v) + -8 -21 + 21v = (-5 * 5 + v * 5) + -8 -21 + 21v = (-25 + 5v) + -8 Reorder the terms: -21 + 21v = -25 + -8 + 5v Combine like terms: -25 + -8 = -33 -21 + 21v = -33 + 5v Solving -21 + 21v = -33 + 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. -21 + 21v + -5v = -33 + 5v + -5v Combine like terms: 21v + -5v = 16v -21 + 16v = -33 + 5v + -5v Combine like terms: 5v + -5v = 0 -21 + 16v = -33 + 0 -21 + 16v = -33 Add '21' to each side of the equation. -21 + 21 + 16v = -33 + 21 Combine like terms: -21 + 21 = 0 0 + 16v = -33 + 21 16v = -33 + 21 Combine like terms: -33 + 21 = -12 16v = -12 Divide each side by '16'. v = -0.75 Simplifying v = -0.75
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