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Simplifying 6(v + 8) = -5(2v + -8) + 4v Reorder the terms: 6(8 + v) = -5(2v + -8) + 4v (8 * 6 + v * 6) = -5(2v + -8) + 4v (48 + 6v) = -5(2v + -8) + 4v Reorder the terms: 48 + 6v = -5(-8 + 2v) + 4v 48 + 6v = (-8 * -5 + 2v * -5) + 4v 48 + 6v = (40 + -10v) + 4v Combine like terms: -10v + 4v = -6v 48 + 6v = 40 + -6v Solving 48 + 6v = 40 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 48 + 6v + 6v = 40 + -6v + 6v Combine like terms: 6v + 6v = 12v 48 + 12v = 40 + -6v + 6v Combine like terms: -6v + 6v = 0 48 + 12v = 40 + 0 48 + 12v = 40 Add '-48' to each side of the equation. 48 + -48 + 12v = 40 + -48 Combine like terms: 48 + -48 = 0 0 + 12v = 40 + -48 12v = 40 + -48 Combine like terms: 40 + -48 = -8 12v = -8 Divide each side by '12'. v = -0.6666666667 Simplifying v = -0.6666666667
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