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Simplifying -39 + -6v = -7(5 + v) -39 + -6v = (5 * -7 + v * -7) -39 + -6v = (-35 + -7v) Solving -39 + -6v = -35 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -39 + -6v + 7v = -35 + -7v + 7v Combine like terms: -6v + 7v = 1v -39 + 1v = -35 + -7v + 7v Combine like terms: -7v + 7v = 0 -39 + 1v = -35 + 0 -39 + 1v = -35 Add '39' to each side of the equation. -39 + 39 + 1v = -35 + 39 Combine like terms: -39 + 39 = 0 0 + 1v = -35 + 39 1v = -35 + 39 Combine like terms: -35 + 39 = 4 1v = 4 Divide each side by '1'. v = 4 Simplifying v = 4
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