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Simplifying 11 = -5(1 + 4v) + 4(4 + -6v) 11 = (1 * -5 + 4v * -5) + 4(4 + -6v) 11 = (-5 + -20v) + 4(4 + -6v) 11 = -5 + -20v + (4 * 4 + -6v * 4) 11 = -5 + -20v + (16 + -24v) Reorder the terms: 11 = -5 + 16 + -20v + -24v Combine like terms: -5 + 16 = 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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