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Simplifying 8(4 + -6v) + -2v = 82 (4 * 8 + -6v * 8) + -2v = 82 (32 + -48v) + -2v = 82 Combine like terms: -48v + -2v = -50v 32 + -50v = 82 Solving 32 + -50v = 82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -50v = 82 + -32 Combine like terms: 32 + -32 = 0 0 + -50v = 82 + -32 -50v = 82 + -32 Combine like terms: 82 + -32 = 50 -50v = 50 Divide each side by '-50'. v = -1 Simplifying v = -1
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