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Simplifying 7(1 + -5v) = 7 + 8v (1 * 7 + -5v * 7) = 7 + 8v (7 + -35v) = 7 + 8v Add '-7' to each side of the equation. 7 + -7 + -35v = 7 + -7 + 8v Combine like terms: 7 + -7 = 0 0 + -35v = 7 + -7 + 8v -35v = 7 + -7 + 8v Combine like terms: 7 + -7 = 0 -35v = 0 + 8v -35v = 8v Solving -35v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -35v + -8v = 8v + -8v Combine like terms: -35v + -8v = -43v -43v = 8v + -8v Combine like terms: 8v + -8v = 0 -43v = 0 Divide each side by '-43'. v = 0 Simplifying v = 0
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