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Simplifying 8 = 2(v + 3) Reorder the terms: 8 = 2(3 + v) 8 = (3 * 2 + v * 2) 8 = (6 + 2v) Solving 8 = 6 + 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 = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -2v = 6 + 0 8 + -2v = 6 Add '-8' to each side of the equation. 8 + -8 + -2v = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = 6 + -8 -2v = 6 + -8 Combine like terms: 6 + -8 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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