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Simplifying -2 + 8v + -4v + -10 = 5v + -7v Reorder the terms: -2 + -10 + 8v + -4v = 5v + -7v Combine like terms: -2 + -10 = -12 -12 + 8v + -4v = 5v + -7v Combine like terms: 8v + -4v = 4v -12 + 4v = 5v + -7v Combine like terms: 5v + -7v = -2v -12 + 4v = -2v Solving -12 + 4v = -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -12 + 4v + 2v = -2v + 2v Combine like terms: 4v + 2v = 6v -12 + 6v = -2v + 2v Combine like terms: -2v + 2v = 0 -12 + 6v = 0 Add '12' to each side of the equation. -12 + 12 + 6v = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6v = 0 + 12 6v = 0 + 12 Combine like terms: 0 + 12 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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