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Simplifying 20(v + 2) + -4v = (4v + 3) + -19 Reorder the terms: 20(2 + v) + -4v = (4v + 3) + -19 (2 * 20 + v * 20) + -4v = (4v + 3) + -19 (40 + 20v) + -4v = (4v + 3) + -19 Combine like terms: 20v + -4v = 16v 40 + 16v = (4v + 3) + -19 Reorder the terms: 40 + 16v = (3 + 4v) + -19 Remove parenthesis around (3 + 4v) 40 + 16v = 3 + 4v + -19 Reorder the terms: 40 + 16v = 3 + -19 + 4v Combine like terms: 3 + -19 = -16 40 + 16v = -16 + 4v Solving 40 + 16v = -16 + 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. 40 + 16v + -4v = -16 + 4v + -4v Combine like terms: 16v + -4v = 12v 40 + 12v = -16 + 4v + -4v Combine like terms: 4v + -4v = 0 40 + 12v = -16 + 0 40 + 12v = -16 Add '-40' to each side of the equation. 40 + -40 + 12v = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 12v = -16 + -40 12v = -16 + -40 Combine like terms: -16 + -40 = -56 12v = -56 Divide each side by '12'. v = -4.666666667 Simplifying v = -4.666666667
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