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Simplifying 20(v + 3) + -40 = 4(4v + 2) + -10 Reorder the terms: 20(3 + v) + -40 = 4(4v + 2) + -10 (3 * 20 + v * 20) + -40 = 4(4v + 2) + -10 (60 + 20v) + -40 = 4(4v + 2) + -10 Reorder the terms: 60 + -40 + 20v = 4(4v + 2) + -10 Combine like terms: 60 + -40 = 20 20 + 20v = 4(4v + 2) + -10 Reorder the terms: 20 + 20v = 4(2 + 4v) + -10 20 + 20v = (2 * 4 + 4v * 4) + -10 20 + 20v = (8 + 16v) + -10 Reorder the terms: 20 + 20v = 8 + -10 + 16v Combine like terms: 8 + -10 = -2 20 + 20v = -2 + 16v Solving 20 + 20v = -2 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 20 + 20v + -16v = -2 + 16v + -16v Combine like terms: 20v + -16v = 4v 20 + 4v = -2 + 16v + -16v Combine like terms: 16v + -16v = 0 20 + 4v = -2 + 0 20 + 4v = -2 Add '-20' to each side of the equation. 20 + -20 + 4v = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 4v = -2 + -20 4v = -2 + -20 Combine like terms: -2 + -20 = -22 4v = -22 Divide each side by '4'. v = -5.5 Simplifying v = -5.5
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