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Simplifying -5(v + -8) = -8v + 16 Reorder the terms: -5(-8 + v) = -8v + 16 (-8 * -5 + v * -5) = -8v + 16 (40 + -5v) = -8v + 16 Reorder the terms: 40 + -5v = 16 + -8v Solving 40 + -5v = 16 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 40 + -5v + 8v = 16 + -8v + 8v Combine like terms: -5v + 8v = 3v 40 + 3v = 16 + -8v + 8v Combine like terms: -8v + 8v = 0 40 + 3v = 16 + 0 40 + 3v = 16 Add '-40' to each side of the equation. 40 + -40 + 3v = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 3v = 16 + -40 3v = 16 + -40 Combine like terms: 16 + -40 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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