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