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