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Simplifying 2(v + 8) = 4v + 14 Reorder the terms: 2(8 + v) = 4v + 14 (8 * 2 + v * 2) = 4v + 14 (16 + 2v) = 4v + 14 Reorder the terms: 16 + 2v = 14 + 4v Solving 16 + 2v = 14 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 16 + 2v + -4v = 14 + 4v + -4v Combine like terms: 2v + -4v = -2v 16 + -2v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 16 + -2v = 14 + 0 16 + -2v = 14 Add '-16' to each side of the equation. 16 + -16 + -2v = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = 14 + -16 -2v = 14 + -16 Combine like terms: 14 + -16 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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