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Simplifying -7v + 7 + v = -5v + -1 Reorder the terms: 7 + -7v + v = -5v + -1 Combine like terms: -7v + v = -6v 7 + -6v = -5v + -1 Reorder the terms: 7 + -6v = -1 + -5v Solving 7 + -6v = -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 + -6v + 5v = -1 + -5v + 5v Combine like terms: -6v + 5v = -1v 7 + -1v = -1 + -5v + 5v Combine like terms: -5v + 5v = 0 7 + -1v = -1 + 0 7 + -1v = -1 Add '-7' to each side of the equation. 7 + -7 + -1v = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = -1 + -7 -1v = -1 + -7 Combine like terms: -1 + -7 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8
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