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Simplifying 128 = 2v + 4(4 + 5v) 128 = 2v + (4 * 4 + 5v * 4) 128 = 2v + (16 + 20v) Reorder the terms: 128 = 16 + 2v + 20v Combine like terms: 2v + 20v = 22v 128 = 16 + 22v Solving 128 = 16 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. 128 + -22v = 16 + 22v + -22v Combine like terms: 22v + -22v = 0 128 + -22v = 16 + 0 128 + -22v = 16 Add '-128' to each side of the equation. 128 + -128 + -22v = 16 + -128 Combine like terms: 128 + -128 = 0 0 + -22v = 16 + -128 -22v = 16 + -128 Combine like terms: 16 + -128 = -112 -22v = -112 Divide each side by '-22'. v = 5.090909091 Simplifying v = 5.090909091
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