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Simplifying 7v + 1 = 8v + 1 Reorder the terms: 1 + 7v = 8v + 1 Reorder the terms: 1 + 7v = 1 + 8v Add '-1' to each side of the equation. 1 + -1 + 7v = 1 + -1 + 8v Combine like terms: 1 + -1 = 0 0 + 7v = 1 + -1 + 8v 7v = 1 + -1 + 8v Combine like terms: 1 + -1 = 0 7v = 0 + 8v 7v = 8v Solving 7v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 7v + -8v = 8v + -8v Combine like terms: 7v + -8v = -1v -1v = 8v + -8v Combine like terms: 8v + -8v = 0 -1v = 0 Divide each side by '-1'. v = 0 Simplifying v = 0
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