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Simplifying -3(5 + -4v) = -35 + 8v (5 * -3 + -4v * -3) = -35 + 8v (-15 + 12v) = -35 + 8v Solving -15 + 12v = -35 + 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. -15 + 12v + -8v = -35 + 8v + -8v Combine like terms: 12v + -8v = 4v -15 + 4v = -35 + 8v + -8v Combine like terms: 8v + -8v = 0 -15 + 4v = -35 + 0 -15 + 4v = -35 Add '15' to each side of the equation. -15 + 15 + 4v = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 4v = -35 + 15 4v = -35 + 15 Combine like terms: -35 + 15 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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