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Simplifying -7v + 9 = v + 1 Reorder the terms: 9 + -7v = v + 1 Reorder the terms: 9 + -7v = 1 + v Solving 9 + -7v = 1 + 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. 9 + -7v + -1v = 1 + v + -1v Combine like terms: -7v + -1v = -8v 9 + -8v = 1 + v + -1v Combine like terms: v + -1v = 0 9 + -8v = 1 + 0 9 + -8v = 1 Add '-9' to each side of the equation. 9 + -9 + -8v = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -8v = 1 + -9 -8v = 1 + -9 Combine like terms: 1 + -9 = -8 -8v = -8 Divide each side by '-8'. v = 1 Simplifying v = 1
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