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Simplifying 11 = -5(1 + 4v) + 4(-6v) 11 = (1 * -5 + 4v * -5) + 4(-6v) 11 = (-5 + -20v) + 4(-6v) Remove parenthesis around (-6v) 11 = -5 + -20v + 4 * -6v Multiply 4 * -6 11 = -5 + -20v + -24v Combine like terms: -20v + -24v = -44v 11 = -5 + -44v Solving 11 = -5 + -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. 11 + 44v = -5 + -44v + 44v Combine like terms: -44v + 44v = 0 11 + 44v = -5 + 0 11 + 44v = -5 Add '-11' to each side of the equation. 11 + -11 + 44v = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 44v = -5 + -11 44v = -5 + -11 Combine like terms: -5 + -11 = -16 44v = -16 Divide each side by '44'. v = -0.3636363636 Simplifying v = -0.3636363636
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