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Simplifying -5(1 + -7v) = v + -39 (1 * -5 + -7v * -5) = v + -39 (-5 + 35v) = v + -39 Reorder the terms: -5 + 35v = -39 + v Solving -5 + 35v = -39 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -5 + 35v + -1v = -39 + v + -1v Combine like terms: 35v + -1v = 34v -5 + 34v = -39 + v + -1v Combine like terms: v + -1v = 0 -5 + 34v = -39 + 0 -5 + 34v = -39 Add '5' to each side of the equation. -5 + 5 + 34v = -39 + 5 Combine like terms: -5 + 5 = 0 0 + 34v = -39 + 5 34v = -39 + 5 Combine like terms: -39 + 5 = -34 34v = -34 Divide each side by '34'. v = -1 Simplifying v = -1
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