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Simplifying 3v + 7 = -8v + 7 Reorder the terms: 7 + 3v = -8v + 7 Reorder the terms: 7 + 3v = 7 + -8v Add '-7' to each side of the equation. 7 + -7 + 3v = 7 + -7 + -8v Combine like terms: 7 + -7 = 0 0 + 3v = 7 + -7 + -8v 3v = 7 + -7 + -8v Combine like terms: 7 + -7 = 0 3v = 0 + -8v 3v = -8v Solving 3v = -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 3v + 8v = -8v + 8v Combine like terms: 3v + 8v = 11v 11v = -8v + 8v Combine like terms: -8v + 8v = 0 11v = 0 Divide each side by '11'. v = 0 Simplifying v = 0
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