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Simplifying -7(8v + -5) = 4v + 35 Reorder the terms: -7(-5 + 8v) = 4v + 35 (-5 * -7 + 8v * -7) = 4v + 35 (35 + -56v) = 4v + 35 Reorder the terms: 35 + -56v = 35 + 4v Add '-35' to each side of the equation. 35 + -35 + -56v = 35 + -35 + 4v Combine like terms: 35 + -35 = 0 0 + -56v = 35 + -35 + 4v -56v = 35 + -35 + 4v Combine like terms: 35 + -35 = 0 -56v = 0 + 4v -56v = 4v Solving -56v = 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -56v + -4v = 4v + -4v Combine like terms: -56v + -4v = -60v -60v = 4v + -4v Combine like terms: 4v + -4v = 0 -60v = 0 Divide each side by '-60'. v = 0.0 Simplifying v = 0.0
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