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Simplifying 2v + 3(8 + -1v) = (-16) 2v + (8 * 3 + -1v * 3) = (-16) 2v + (24 + -3v) = (-16) Reorder the terms: 24 + 2v + -3v = (-16) Combine like terms: 2v + -3v = -1v 24 + -1v = (-16) 24 + -1v = -16 Solving 24 + -1v = -16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1v = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -1v = -16 + -24 -1v = -16 + -24 Combine like terms: -16 + -24 = -40 -1v = -40 Divide each side by '-1'. v = 40 Simplifying v = 40
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