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Simplifying 7 = -7v + 2(v + 6) Reorder the terms: 7 = -7v + 2(6 + v) 7 = -7v + (6 * 2 + v * 2) 7 = -7v + (12 + 2v) Reorder the terms: 7 = 12 + -7v + 2v Combine like terms: -7v + 2v = -5v 7 = 12 + -5v Solving 7 = 12 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 7 + 5v = 12 + -5v + 5v Combine like terms: -5v + 5v = 0 7 + 5v = 12 + 0 7 + 5v = 12 Add '-7' to each side of the equation. 7 + -7 + 5v = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5v = 12 + -7 5v = 12 + -7 Combine like terms: 12 + -7 = 5 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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