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Simplifying 6v + 8 + 7 = 5 + v + 7v Reorder the terms: 8 + 7 + 6v = 5 + v + 7v Combine like terms: 8 + 7 = 15 15 + 6v = 5 + v + 7v Combine like terms: v + 7v = 8v 15 + 6v = 5 + 8v Solving 15 + 6v = 5 + 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. 15 + 6v + -8v = 5 + 8v + -8v Combine like terms: 6v + -8v = -2v 15 + -2v = 5 + 8v + -8v Combine like terms: 8v + -8v = 0 15 + -2v = 5 + 0 15 + -2v = 5 Add '-15' to each side of the equation. 15 + -15 + -2v = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 5 + -15 -2v = 5 + -15 Combine like terms: 5 + -15 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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