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