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Simplifying -6(4v + 8) = -20 + -5v Reorder the terms: -6(8 + 4v) = -20 + -5v (8 * -6 + 4v * -6) = -20 + -5v (-48 + -24v) = -20 + -5v Solving -48 + -24v = -20 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -48 + -24v + 5v = -20 + -5v + 5v Combine like terms: -24v + 5v = -19v -48 + -19v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 -48 + -19v = -20 + 0 -48 + -19v = -20 Add '48' to each side of the equation. -48 + 48 + -19v = -20 + 48 Combine like terms: -48 + 48 = 0 0 + -19v = -20 + 48 -19v = -20 + 48 Combine like terms: -20 + 48 = 28 -19v = 28 Divide each side by '-19'. v = -1.473684211 Simplifying v = -1.473684211
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