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Simplifying 4 + -5(2v + -4) = v + 2 Reorder the terms: 4 + -5(-4 + 2v) = v + 2 4 + (-4 * -5 + 2v * -5) = v + 2 4 + (20 + -10v) = v + 2 Combine like terms: 4 + 20 = 24 24 + -10v = v + 2 Reorder the terms: 24 + -10v = 2 + v Solving 24 + -10v = 2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 24 + -10v + -1v = 2 + v + -1v Combine like terms: -10v + -1v = -11v 24 + -11v = 2 + v + -1v Combine like terms: v + -1v = 0 24 + -11v = 2 + 0 24 + -11v = 2 Add '-24' to each side of the equation. 24 + -24 + -11v = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -11v = 2 + -24 -11v = 2 + -24 Combine like terms: 2 + -24 = -22 -11v = -22 Divide each side by '-11'. v = 2 Simplifying v = 2
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