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Simplifying 0.6(v + -5) + -5 = -2(-8 + 3v) Reorder the terms: 0.6(-5 + v) + -5 = -2(-8 + 3v) (-5 * 0.6 + v * 0.6) + -5 = -2(-8 + 3v) (-3 + 0.6v) + -5 = -2(-8 + 3v) Reorder the terms: -3 + -5 + 0.6v = -2(-8 + 3v) Combine like terms: -3 + -5 = -8 -8 + 0.6v = -2(-8 + 3v) -8 + 0.6v = (-8 * -2 + 3v * -2) -8 + 0.6v = (16 + -6v) Solving -8 + 0.6v = 16 + -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. -8 + 0.6v + 6v = 16 + -6v + 6v Combine like terms: 0.6v + 6v = 6.6v -8 + 6.6v = 16 + -6v + 6v Combine like terms: -6v + 6v = 0 -8 + 6.6v = 16 + 0 -8 + 6.6v = 16 Add '8' to each side of the equation. -8 + 8 + 6.6v = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6.6v = 16 + 8 6.6v = 16 + 8 Combine like terms: 16 + 8 = 24 6.6v = 24 Divide each side by '6.6'. v = 3.636363636 Simplifying v = 3.636363636
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