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Simplifying -8(v + -8) = 3v + 24 Reorder the terms: -8(-8 + v) = 3v + 24 (-8 * -8 + v * -8) = 3v + 24 (64 + -8v) = 3v + 24 Reorder the terms: 64 + -8v = 24 + 3v Solving 64 + -8v = 24 + 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. 64 + -8v + -3v = 24 + 3v + -3v Combine like terms: -8v + -3v = -11v 64 + -11v = 24 + 3v + -3v Combine like terms: 3v + -3v = 0 64 + -11v = 24 + 0 64 + -11v = 24 Add '-64' to each side of the equation. 64 + -64 + -11v = 24 + -64 Combine like terms: 64 + -64 = 0 0 + -11v = 24 + -64 -11v = 24 + -64 Combine like terms: 24 + -64 = -40 -11v = -40 Divide each side by '-11'. v = 3.636363636 Simplifying v = 3.636363636
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