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Simplifying -6(1 + -7v) + v = 295 (1 * -6 + -7v * -6) + v = 295 (-6 + 42v) + v = 295 Combine like terms: 42v + v = 43v -6 + 43v = 295 Solving -6 + 43v = 295 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 + 43v = 295 + 6 Combine like terms: -6 + 6 = 0 0 + 43v = 295 + 6 43v = 295 + 6 Combine like terms: 295 + 6 = 301 43v = 301 Divide each side by '43'. v = 7 Simplifying v = 7
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