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Simplifying 1 + -5v + 3 = -1v + -8 Reorder the terms: 1 + 3 + -5v = -1v + -8 Combine like terms: 1 + 3 = 4 4 + -5v = -1v + -8 Reorder the terms: 4 + -5v = -8 + -1v Solving 4 + -5v = -8 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 4 + -5v + v = -8 + -1v + v Combine like terms: -5v + v = -4v 4 + -4v = -8 + -1v + v Combine like terms: -1v + v = 0 4 + -4v = -8 + 0 4 + -4v = -8 Add '-4' to each side of the equation. 4 + -4 + -4v = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = -8 + -4 -4v = -8 + -4 Combine like terms: -8 + -4 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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