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Simplifying 5v + 1 = v + -7 Reorder the terms: 1 + 5v = v + -7 Reorder the terms: 1 + 5v = -7 + v Solving 1 + 5v = -7 + 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. 1 + 5v + -1v = -7 + v + -1v Combine like terms: 5v + -1v = 4v 1 + 4v = -7 + v + -1v Combine like terms: v + -1v = 0 1 + 4v = -7 + 0 1 + 4v = -7 Add '-1' to each side of the equation. 1 + -1 + 4v = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4v = -7 + -1 4v = -7 + -1 Combine like terms: -7 + -1 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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