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Simplifying -8 + 8v = 4v + 4(5v + -6) Reorder the terms: -8 + 8v = 4v + 4(-6 + 5v) -8 + 8v = 4v + (-6 * 4 + 5v * 4) -8 + 8v = 4v + (-24 + 20v) Reorder the terms: -8 + 8v = -24 + 4v + 20v Combine like terms: 4v + 20v = 24v -8 + 8v = -24 + 24v Solving -8 + 8v = -24 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -8 + 8v + -24v = -24 + 24v + -24v Combine like terms: 8v + -24v = -16v -8 + -16v = -24 + 24v + -24v Combine like terms: 24v + -24v = 0 -8 + -16v = -24 + 0 -8 + -16v = -24 Add '8' to each side of the equation. -8 + 8 + -16v = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -16v = -24 + 8 -16v = -24 + 8 Combine like terms: -24 + 8 = -16 -16v = -16 Divide each side by '-16'. v = 1 Simplifying v = 1
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