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Simplifying 4v + 20 = 2(8v + -2) Reorder the terms: 20 + 4v = 2(8v + -2) Reorder the terms: 20 + 4v = 2(-2 + 8v) 20 + 4v = (-2 * 2 + 8v * 2) 20 + 4v = (-4 + 16v) Solving 20 + 4v = -4 + 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 + 4v + -16v = -4 + 16v + -16v Combine like terms: 4v + -16v = -12v 20 + -12v = -4 + 16v + -16v Combine like terms: 16v + -16v = 0 20 + -12v = -4 + 0 20 + -12v = -4 Add '-20' to each side of the equation. 20 + -20 + -12v = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -12v = -4 + -20 -12v = -4 + -20 Combine like terms: -4 + -20 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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