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Simplifying 5(v + -4) + -4 = -3(-8v + 6) + -3v Reorder the terms: 5(-4 + v) + -4 = -3(-8v + 6) + -3v (-4 * 5 + v * 5) + -4 = -3(-8v + 6) + -3v (-20 + 5v) + -4 = -3(-8v + 6) + -3v Reorder the terms: -20 + -4 + 5v = -3(-8v + 6) + -3v Combine like terms: -20 + -4 = -24 -24 + 5v = -3(-8v + 6) + -3v Reorder the terms: -24 + 5v = -3(6 + -8v) + -3v -24 + 5v = (6 * -3 + -8v * -3) + -3v -24 + 5v = (-18 + 24v) + -3v Combine like terms: 24v + -3v = 21v -24 + 5v = -18 + 21v Solving -24 + 5v = -18 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -24 + 5v + -21v = -18 + 21v + -21v Combine like terms: 5v + -21v = -16v -24 + -16v = -18 + 21v + -21v Combine like terms: 21v + -21v = 0 -24 + -16v = -18 + 0 -24 + -16v = -18 Add '24' to each side of the equation. -24 + 24 + -16v = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -16v = -18 + 24 -16v = -18 + 24 Combine like terms: -18 + 24 = 6 -16v = 6 Divide each side by '-16'. v = -0.375 Simplifying v = -0.375
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