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Simplifying -19 = 2(v + -8) + -5v Reorder the terms: -19 = 2(-8 + v) + -5v -19 = (-8 * 2 + v * 2) + -5v -19 = (-16 + 2v) + -5v Combine like terms: 2v + -5v = -3v -19 = -16 + -3v Solving -19 = -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. -19 + 3v = -16 + -3v + 3v Combine like terms: -3v + 3v = 0 -19 + 3v = -16 + 0 -19 + 3v = -16 Add '19' to each side of the equation. -19 + 19 + 3v = -16 + 19 Combine like terms: -19 + 19 = 0 0 + 3v = -16 + 19 3v = -16 + 19 Combine like terms: -16 + 19 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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