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Simplifying 6(2 + 3v) + -8v = 82 (2 * 6 + 3v * 6) + -8v = 82 (12 + 18v) + -8v = 82 Combine like terms: 18v + -8v = 10v 12 + 10v = 82 Solving 12 + 10v = 82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10v = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 10v = 82 + -12 10v = 82 + -12 Combine like terms: 82 + -12 = 70 10v = 70 Divide each side by '10'. v = 7 Simplifying v = 7
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