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Simplifying -6(1 + -7v) = 39 + -3v (1 * -6 + -7v * -6) = 39 + -3v (-6 + 42v) = 39 + -3v Solving -6 + 42v = 39 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -6 + 42v + 3v = 39 + -3v + 3v Combine like terms: 42v + 3v = 45v -6 + 45v = 39 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 45v = 39 + 0 -6 + 45v = 39 Add '6' to each side of the equation. -6 + 6 + 45v = 39 + 6 Combine like terms: -6 + 6 = 0 0 + 45v = 39 + 6 45v = 39 + 6 Combine like terms: 39 + 6 = 45 45v = 45 Divide each side by '45'. v = 1 Simplifying v = 1
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