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Simplifying 6 = -6v + 4(v + 5) Reorder the terms: 6 = -6v + 4(5 + v) 6 = -6v + (5 * 4 + v * 4) 6 = -6v + (20 + 4v) Reorder the terms: 6 = 20 + -6v + 4v Combine like terms: -6v + 4v = -2v 6 = 20 + -2v Solving 6 = 20 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 6 + 2v = 20 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + 2v = 20 + 0 6 + 2v = 20 Add '-6' to each side of the equation. 6 + -6 + 2v = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 20 + -6 2v = 20 + -6 Combine like terms: 20 + -6 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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