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Simplifying 11v + -1(5v + 5) = 11(v + 5) Reorder the terms: 11v + -1(5 + 5v) = 11(v + 5) 11v + (5 * -1 + 5v * -1) = 11(v + 5) 11v + (-5 + -5v) = 11(v + 5) Reorder the terms: -5 + 11v + -5v = 11(v + 5) Combine like terms: 11v + -5v = 6v -5 + 6v = 11(v + 5) Reorder the terms: -5 + 6v = 11(5 + v) -5 + 6v = (5 * 11 + v * 11) -5 + 6v = (55 + 11v) Solving -5 + 6v = 55 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -5 + 6v + -11v = 55 + 11v + -11v Combine like terms: 6v + -11v = -5v -5 + -5v = 55 + 11v + -11v Combine like terms: 11v + -11v = 0 -5 + -5v = 55 + 0 -5 + -5v = 55 Add '5' to each side of the equation. -5 + 5 + -5v = 55 + 5 Combine like terms: -5 + 5 = 0 0 + -5v = 55 + 5 -5v = 55 + 5 Combine like terms: 55 + 5 = 60 -5v = 60 Divide each side by '-5'. v = -12 Simplifying v = -12
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