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Simplifying 2(5 + 2v) = 8v + 2 (5 * 2 + 2v * 2) = 8v + 2 (10 + 4v) = 8v + 2 Reorder the terms: 10 + 4v = 2 + 8v Solving 10 + 4v = 2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 10 + 4v + -8v = 2 + 8v + -8v Combine like terms: 4v + -8v = -4v 10 + -4v = 2 + 8v + -8v Combine like terms: 8v + -8v = 0 10 + -4v = 2 + 0 10 + -4v = 2 Add '-10' to each side of the equation. 10 + -10 + -4v = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4v = 2 + -10 -4v = 2 + -10 Combine like terms: 2 + -10 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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