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Simplifying 5 + 1 + 5v + 2v = -7v + 6 Combine like terms: 5 + 1 = 6 6 + 5v + 2v = -7v + 6 Combine like terms: 5v + 2v = 7v 6 + 7v = -7v + 6 Reorder the terms: 6 + 7v = 6 + -7v Add '-6' to each side of the equation. 6 + -6 + 7v = 6 + -6 + -7v Combine like terms: 6 + -6 = 0 0 + 7v = 6 + -6 + -7v 7v = 6 + -6 + -7v Combine like terms: 6 + -6 = 0 7v = 0 + -7v 7v = -7v Solving 7v = -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 7v + 7v = -7v + 7v Combine like terms: 7v + 7v = 14v 14v = -7v + 7v Combine like terms: -7v + 7v = 0 14v = 0 Divide each side by '14'. v = 0 Simplifying v = 0
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