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Simplifying 6v + -5(-7 + -4v) = 8v + -19 6v + (-7 * -5 + -4v * -5) = 8v + -19 6v + (35 + 20v) = 8v + -19 Reorder the terms: 35 + 6v + 20v = 8v + -19 Combine like terms: 6v + 20v = 26v 35 + 26v = 8v + -19 Reorder the terms: 35 + 26v = -19 + 8v Solving 35 + 26v = -19 + 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. 35 + 26v + -8v = -19 + 8v + -8v Combine like terms: 26v + -8v = 18v 35 + 18v = -19 + 8v + -8v Combine like terms: 8v + -8v = 0 35 + 18v = -19 + 0 35 + 18v = -19 Add '-35' to each side of the equation. 35 + -35 + 18v = -19 + -35 Combine like terms: 35 + -35 = 0 0 + 18v = -19 + -35 18v = -19 + -35 Combine like terms: -19 + -35 = -54 18v = -54 Divide each side by '18'. v = -3 Simplifying v = -3
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