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Simplifying -82 = -5v + 2(8v + -8) Reorder the terms: -82 = -5v + 2(-8 + 8v) -82 = -5v + (-8 * 2 + 8v * 2) -82 = -5v + (-16 + 16v) Reorder the terms: -82 = -16 + -5v + 16v Combine like terms: -5v + 16v = 11v -82 = -16 + 11v Solving -82 = -16 + 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. -82 + -11v = -16 + 11v + -11v Combine like terms: 11v + -11v = 0 -82 + -11v = -16 + 0 -82 + -11v = -16 Add '82' to each side of the equation. -82 + 82 + -11v = -16 + 82 Combine like terms: -82 + 82 = 0 0 + -11v = -16 + 82 -11v = -16 + 82 Combine like terms: -16 + 82 = 66 -11v = 66 Divide each side by '-11'. v = -6 Simplifying v = -6
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