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Simplifying -24 + -8v = 5(v + -7) + -2v Reorder the terms: -24 + -8v = 5(-7 + v) + -2v -24 + -8v = (-7 * 5 + v * 5) + -2v -24 + -8v = (-35 + 5v) + -2v Combine like terms: 5v + -2v = 3v -24 + -8v = -35 + 3v Solving -24 + -8v = -35 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -24 + -8v + -3v = -35 + 3v + -3v Combine like terms: -8v + -3v = -11v -24 + -11v = -35 + 3v + -3v Combine like terms: 3v + -3v = 0 -24 + -11v = -35 + 0 -24 + -11v = -35 Add '24' to each side of the equation. -24 + 24 + -11v = -35 + 24 Combine like terms: -24 + 24 = 0 0 + -11v = -35 + 24 -11v = -35 + 24 Combine like terms: -35 + 24 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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