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Simplifying -2(v + -8) = 3v + -19 Reorder the terms: -2(-8 + v) = 3v + -19 (-8 * -2 + v * -2) = 3v + -19 (16 + -2v) = 3v + -19 Reorder the terms: 16 + -2v = -19 + 3v Solving 16 + -2v = -19 + 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. 16 + -2v + -3v = -19 + 3v + -3v Combine like terms: -2v + -3v = -5v 16 + -5v = -19 + 3v + -3v Combine like terms: 3v + -3v = 0 16 + -5v = -19 + 0 16 + -5v = -19 Add '-16' to each side of the equation. 16 + -16 + -5v = -19 + -16 Combine like terms: 16 + -16 = 0 0 + -5v = -19 + -16 -5v = -19 + -16 Combine like terms: -19 + -16 = -35 -5v = -35 Divide each side by '-5'. v = 7 Simplifying v = 7
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