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Simplifying -39 + -8v = -5(6v + -1) Reorder the terms: -39 + -8v = -5(-1 + 6v) -39 + -8v = (-1 * -5 + 6v * -5) -39 + -8v = (5 + -30v) Solving -39 + -8v = 5 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -39 + -8v + 30v = 5 + -30v + 30v Combine like terms: -8v + 30v = 22v -39 + 22v = 5 + -30v + 30v Combine like terms: -30v + 30v = 0 -39 + 22v = 5 + 0 -39 + 22v = 5 Add '39' to each side of the equation. -39 + 39 + 22v = 5 + 39 Combine like terms: -39 + 39 = 0 0 + 22v = 5 + 39 22v = 5 + 39 Combine like terms: 5 + 39 = 44 22v = 44 Divide each side by '22'. v = 2 Simplifying v = 2
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