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Simplifying 8v + -35 = -3(5 + -4v) Reorder the terms: -35 + 8v = -3(5 + -4v) -35 + 8v = (5 * -3 + -4v * -3) -35 + 8v = (-15 + 12v) Solving -35 + 8v = -15 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -35 + 8v + -12v = -15 + 12v + -12v Combine like terms: 8v + -12v = -4v -35 + -4v = -15 + 12v + -12v Combine like terms: 12v + -12v = 0 -35 + -4v = -15 + 0 -35 + -4v = -15 Add '35' to each side of the equation. -35 + 35 + -4v = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -4v = -15 + 35 -4v = -15 + 35 Combine like terms: -15 + 35 = 20 -4v = 20 Divide each side by '-4'. v = -5 Simplifying v = -5
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