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Simplifying 6v + 13 = 8v + 7 Reorder the terms: 13 + 6v = 8v + 7 Reorder the terms: 13 + 6v = 7 + 8v Solving 13 + 6v = 7 + 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. 13 + 6v + -8v = 7 + 8v + -8v Combine like terms: 6v + -8v = -2v 13 + -2v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 13 + -2v = 7 + 0 13 + -2v = 7 Add '-13' to each side of the equation. 13 + -13 + -2v = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -2v = 7 + -13 -2v = 7 + -13 Combine like terms: 7 + -13 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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