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Simplifying 8 + 7v + 2 + -8v = -3v + -4 Reorder the terms: 8 + 2 + 7v + -8v = -3v + -4 Combine like terms: 8 + 2 = 10 10 + 7v + -8v = -3v + -4 Combine like terms: 7v + -8v = -1v 10 + -1v = -3v + -4 Reorder the terms: 10 + -1v = -4 + -3v Solving 10 + -1v = -4 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 10 + -1v + 3v = -4 + -3v + 3v Combine like terms: -1v + 3v = 2v 10 + 2v = -4 + -3v + 3v Combine like terms: -3v + 3v = 0 10 + 2v = -4 + 0 10 + 2v = -4 Add '-10' to each side of the equation. 10 + -10 + 2v = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = -4 + -10 2v = -4 + -10 Combine like terms: -4 + -10 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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