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Simplifying 6 = 2(v + 5) + -6v Reorder the terms: 6 = 2(5 + v) + -6v 6 = (5 * 2 + v * 2) + -6v 6 = (10 + 2v) + -6v Combine like terms: 2v + -6v = -4v 6 = 10 + -4v Solving 6 = 10 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 6 + 4v = 10 + -4v + 4v Combine like terms: -4v + 4v = 0 6 + 4v = 10 + 0 6 + 4v = 10 Add '-6' to each side of the equation. 6 + -6 + 4v = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4v = 10 + -6 4v = 10 + -6 Combine like terms: 10 + -6 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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