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Simplifying -1v + 7 = -7v + -17 Reorder the terms: 7 + -1v = -7v + -17 Reorder the terms: 7 + -1v = -17 + -7v Solving 7 + -1v = -17 + -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. 7 + -1v + 7v = -17 + -7v + 7v Combine like terms: -1v + 7v = 6v 7 + 6v = -17 + -7v + 7v Combine like terms: -7v + 7v = 0 7 + 6v = -17 + 0 7 + 6v = -17 Add '-7' to each side of the equation. 7 + -7 + 6v = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 6v = -17 + -7 6v = -17 + -7 Combine like terms: -17 + -7 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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