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Simplifying 8 + -1v + 2 = 8 + v + 5 + -7 Reorder the terms: 8 + 2 + -1v = 8 + v + 5 + -7 Combine like terms: 8 + 2 = 10 10 + -1v = 8 + v + 5 + -7 Reorder the terms: 10 + -1v = 8 + 5 + -7 + v Combine like terms: 8 + 5 = 13 10 + -1v = 13 + -7 + v Combine like terms: 13 + -7 = 6 10 + -1v = 6 + v Solving 10 + -1v = 6 + 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. 10 + -1v + -1v = 6 + v + -1v Combine like terms: -1v + -1v = -2v 10 + -2v = 6 + v + -1v Combine like terms: v + -1v = 0 10 + -2v = 6 + 0 10 + -2v = 6 Add '-10' to each side of the equation. 10 + -10 + -2v = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2v = 6 + -10 -2v = 6 + -10 Combine like terms: 6 + -10 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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