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Simplifying -11 + 4v = -6(-2v + 5) + -5 Reorder the terms: -11 + 4v = -6(5 + -2v) + -5 -11 + 4v = (5 * -6 + -2v * -6) + -5 -11 + 4v = (-30 + 12v) + -5 Reorder the terms: -11 + 4v = -30 + -5 + 12v Combine like terms: -30 + -5 = -35 -11 + 4v = -35 + 12v Solving -11 + 4v = -35 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -11 + 4v + -12v = -35 + 12v + -12v Combine like terms: 4v + -12v = -8v -11 + -8v = -35 + 12v + -12v Combine like terms: 12v + -12v = 0 -11 + -8v = -35 + 0 -11 + -8v = -35 Add '11' to each side of the equation. -11 + 11 + -8v = -35 + 11 Combine like terms: -11 + 11 = 0 0 + -8v = -35 + 11 -8v = -35 + 11 Combine like terms: -35 + 11 = -24 -8v = -24 Divide each side by '-8'. v = 3 Simplifying v = 3
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