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Simplifying -6v + -6(1 + -7v) = 33 + -3v -6v + (1 * -6 + -7v * -6) = 33 + -3v -6v + (-6 + 42v) = 33 + -3v Reorder the terms: -6 + -6v + 42v = 33 + -3v Combine like terms: -6v + 42v = 36v -6 + 36v = 33 + -3v Solving -6 + 36v = 33 + -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 + 36v + 3v = 33 + -3v + 3v Combine like terms: 36v + 3v = 39v -6 + 39v = 33 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 39v = 33 + 0 -6 + 39v = 33 Add '6' to each side of the equation. -6 + 6 + 39v = 33 + 6 Combine like terms: -6 + 6 = 0 0 + 39v = 33 + 6 39v = 33 + 6 Combine like terms: 33 + 6 = 39 39v = 39 Divide each side by '39'. v = 1 Simplifying v = 1
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