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Simplifying -7(-1 + 5v) + -5v = -39 + 6v (-1 * -7 + 5v * -7) + -5v = -39 + 6v (7 + -35v) + -5v = -39 + 6v Combine like terms: -35v + -5v = -40v 7 + -40v = -39 + 6v Solving 7 + -40v = -39 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 7 + -40v + -6v = -39 + 6v + -6v Combine like terms: -40v + -6v = -46v 7 + -46v = -39 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + -46v = -39 + 0 7 + -46v = -39 Add '-7' to each side of the equation. 7 + -7 + -46v = -39 + -7 Combine like terms: 7 + -7 = 0 0 + -46v = -39 + -7 -46v = -39 + -7 Combine like terms: -39 + -7 = -46 -46v = -46 Divide each side by '-46'. v = 1 Simplifying v = 1
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