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Simplifying -8(-2 + -3v) = 38 + 2v (-2 * -8 + -3v * -8) = 38 + 2v (16 + 24v) = 38 + 2v Solving 16 + 24v = 38 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 16 + 24v + -2v = 38 + 2v + -2v Combine like terms: 24v + -2v = 22v 16 + 22v = 38 + 2v + -2v Combine like terms: 2v + -2v = 0 16 + 22v = 38 + 0 16 + 22v = 38 Add '-16' to each side of the equation. 16 + -16 + 22v = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 22v = 38 + -16 22v = 38 + -16 Combine like terms: 38 + -16 = 22 22v = 22 Divide each side by '22'. v = 1 Simplifying v = 1
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