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Simplifying 8(v + -6) = -4v + 2 Reorder the terms: 8(-6 + v) = -4v + 2 (-6 * 8 + v * 8) = -4v + 2 (-48 + 8v) = -4v + 2 Reorder the terms: -48 + 8v = 2 + -4v Solving -48 + 8v = 2 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -48 + 8v + 4v = 2 + -4v + 4v Combine like terms: 8v + 4v = 12v -48 + 12v = 2 + -4v + 4v Combine like terms: -4v + 4v = 0 -48 + 12v = 2 + 0 -48 + 12v = 2 Add '48' to each side of the equation. -48 + 48 + 12v = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 12v = 2 + 48 12v = 2 + 48 Combine like terms: 2 + 48 = 50 12v = 50 Divide each side by '12'. v = 4.166666667 Simplifying v = 4.166666667
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