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Simplifying 6(v + -8) = -6(v + 4) Reorder the terms: 6(-8 + v) = -6(v + 4) (-8 * 6 + v * 6) = -6(v + 4) (-48 + 6v) = -6(v + 4) Reorder the terms: -48 + 6v = -6(4 + v) -48 + 6v = (4 * -6 + v * -6) -48 + 6v = (-24 + -6v) Solving -48 + 6v = -24 + -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 = -24 + -6v + 6v Combine like terms: 6v + 6v = 12v -48 + 12v = -24 + -6v + 6v Combine like terms: -6v + 6v = 0 -48 + 12v = -24 + 0 -48 + 12v = -24 Add '48' to each side of the equation. -48 + 48 + 12v = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 12v = -24 + 48 12v = -24 + 48 Combine like terms: -24 + 48 = 24 12v = 24 Divide each side by '12'. v = 2 Simplifying v = 2
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