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Simplifying 6 = 5v + 2(v + 6) Reorder the terms: 6 = 5v + 2(6 + v) 6 = 5v + (6 * 2 + v * 2) 6 = 5v + (12 + 2v) Reorder the terms: 6 = 12 + 5v + 2v Combine like terms: 5v + 2v = 7v 6 = 12 + 7v Solving 6 = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 6 + -7v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 6 + -7v = 12 + 0 6 + -7v = 12 Add '-6' to each side of the equation. 6 + -6 + -7v = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7v = 12 + -6 -7v = 12 + -6 Combine like terms: 12 + -6 = 6 -7v = 6 Divide each side by '-7'. v = -0.8571428571 Simplifying v = -0.8571428571
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