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Simplifying -8v + -6(8 + -2v) = -8v + 12 -8v + (8 * -6 + -2v * -6) = -8v + 12 -8v + (-48 + 12v) = -8v + 12 Reorder the terms: -48 + -8v + 12v = -8v + 12 Combine like terms: -8v + 12v = 4v -48 + 4v = -8v + 12 Reorder the terms: -48 + 4v = 12 + -8v Solving -48 + 4v = 12 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -48 + 4v + 8v = 12 + -8v + 8v Combine like terms: 4v + 8v = 12v -48 + 12v = 12 + -8v + 8v Combine like terms: -8v + 8v = 0 -48 + 12v = 12 + 0 -48 + 12v = 12 Add '48' to each side of the equation. -48 + 48 + 12v = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 12v = 12 + 48 12v = 12 + 48 Combine like terms: 12 + 48 = 60 12v = 60 Divide each side by '12'. v = 5 Simplifying v = 5
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