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Simplifying 5 = 2(v + -8) + -5v Reorder the terms: 5 = 2(-8 + v) + -5v 5 = (-8 * 2 + v * 2) + -5v 5 = (-16 + 2v) + -5v Combine like terms: 2v + -5v = -3v 5 = -16 + -3v Solving 5 = -16 + -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. 5 + 3v = -16 + -3v + 3v Combine like terms: -3v + 3v = 0 5 + 3v = -16 + 0 5 + 3v = -16 Add '-5' to each side of the equation. 5 + -5 + 3v = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = -16 + -5 3v = -16 + -5 Combine like terms: -16 + -5 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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