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Simplifying 20 = 5(v + 6) + -7v Reorder the terms: 20 = 5(6 + v) + -7v 20 = (6 * 5 + v * 5) + -7v 20 = (30 + 5v) + -7v Combine like terms: 5v + -7v = -2v 20 = 30 + -2v Solving 20 = 30 + -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. 20 + 2v = 30 + -2v + 2v Combine like terms: -2v + 2v = 0 20 + 2v = 30 + 0 20 + 2v = 30 Add '-20' to each side of the equation. 20 + -20 + 2v = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 2v = 30 + -20 2v = 30 + -20 Combine like terms: 30 + -20 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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