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Simplifying 8 = 2(v + 2) Reorder the terms: 8 = 2(2 + v) 8 = (2 * 2 + v * 2) 8 = (4 + 2v) Solving 8 = 4 + 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. 8 + -2v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -2v = 4 + 0 8 + -2v = 4 Add '-8' to each side of the equation. 8 + -8 + -2v = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = 4 + -8 -2v = 4 + -8 Combine like terms: 4 + -8 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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