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Simplifying -11 = 4(1 + -5v) + -3(8v + 5) -11 = (1 * 4 + -5v * 4) + -3(8v + 5) -11 = (4 + -20v) + -3(8v + 5) Reorder the terms: -11 = 4 + -20v + -3(5 + 8v) -11 = 4 + -20v + (5 * -3 + 8v * -3) -11 = 4 + -20v + (-15 + -24v) Reorder the terms: -11 = 4 + -15 + -20v + -24v Combine like terms: 4 + -15 = -11 -11 = -11 + -20v + -24v Combine like terms: -20v + -24v = -44v -11 = -11 + -44v Add '11' to each side of the equation. -11 + 11 = -11 + 11 + -44v Combine like terms: -11 + 11 = 0 0 = -11 + 11 + -44v Combine like terms: -11 + 11 = 0 0 = 0 + -44v 0 = -44v Solving 0 = -44v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '44v' to each side of the equation. 0 + 44v = -44v + 44v Remove the zero: 44v = -44v + 44v Combine like terms: -44v + 44v = 0 44v = 0 Divide each side by '44'. v = 0 Simplifying v = 0
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