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Simplifying 3v + 1 = 8v + -1v + 5 Reorder the terms: 1 + 3v = 8v + -1v + 5 Reorder the terms: 1 + 3v = 5 + 8v + -1v Combine like terms: 8v + -1v = 7v 1 + 3v = 5 + 7v Solving 1 + 3v = 5 + 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. 1 + 3v + -7v = 5 + 7v + -7v Combine like terms: 3v + -7v = -4v 1 + -4v = 5 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + -4v = 5 + 0 1 + -4v = 5 Add '-1' to each side of the equation. 1 + -1 + -4v = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -4v = 5 + -1 -4v = 5 + -1 Combine like terms: 5 + -1 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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