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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 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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