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Simplifying 40 + -1v = -5(7v + -8) + v Reorder the terms: 40 + -1v = -5(-8 + 7v) + v 40 + -1v = (-8 * -5 + 7v * -5) + v 40 + -1v = (40 + -35v) + v Combine like terms: -35v + v = -34v 40 + -1v = 40 + -34v Add '-40' to each side of the equation. 40 + -40 + -1v = 40 + -40 + -34v Combine like terms: 40 + -40 = 0 0 + -1v = 40 + -40 + -34v -1v = 40 + -40 + -34v Combine like terms: 40 + -40 = 0 -1v = 0 + -34v -1v = -34v Solving -1v = -34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '34v' to each side of the equation. -1v + 34v = -34v + 34v Combine like terms: -1v + 34v = 33v 33v = -34v + 34v Combine like terms: -34v + 34v = 0 33v = 0 Divide each side by '33'. v = 0 Simplifying v = 0
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