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Simplifying 8(3 + -2v) = -39 + -7v (3 * 8 + -2v * 8) = -39 + -7v (24 + -16v) = -39 + -7v Solving 24 + -16v = -39 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 24 + -16v + 7v = -39 + -7v + 7v Combine like terms: -16v + 7v = -9v 24 + -9v = -39 + -7v + 7v Combine like terms: -7v + 7v = 0 24 + -9v = -39 + 0 24 + -9v = -39 Add '-24' to each side of the equation. 24 + -24 + -9v = -39 + -24 Combine like terms: 24 + -24 = 0 0 + -9v = -39 + -24 -9v = -39 + -24 Combine like terms: -39 + -24 = -63 -9v = -63 Divide each side by '-9'. v = 7 Simplifying v = 7
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