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Simplifying -7v + -6(1 + -3v) = 82 -7v + (1 * -6 + -3v * -6) = 82 -7v + (-6 + 18v) = 82 Reorder the terms: -6 + -7v + 18v = 82 Combine like terms: -7v + 18v = 11v -6 + 11v = 82 Solving -6 + 11v = 82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11v = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 11v = 82 + 6 11v = 82 + 6 Combine like terms: 82 + 6 = 88 11v = 88 Divide each side by '11'. v = 8 Simplifying v = 8
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