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Simplifying 20(v + 2) + -4V = 4(4V + 3) + -18 Reorder the terms: 20(2 + v) + -4V = 4(4V + 3) + -18 (2 * 20 + v * 20) + -4V = 4(4V + 3) + -18 (40 + 20v) + -4V = 4(4V + 3) + -18 Reorder the terms: 40 + -4V + 20v = 4(4V + 3) + -18 Reorder the terms: 40 + -4V + 20v = 4(3 + 4V) + -18 40 + -4V + 20v = (3 * 4 + 4V * 4) + -18 40 + -4V + 20v = (12 + 16V) + -18 Reorder the terms: 40 + -4V + 20v = 12 + -18 + 16V Combine like terms: 12 + -18 = -6 40 + -4V + 20v = -6 + 16V Solving 40 + -4V + 20v = -6 + 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. 40 + -4V + -16V + 20v = -6 + 16V + -16V Combine like terms: -4V + -16V = -20V 40 + -20V + 20v = -6 + 16V + -16V Combine like terms: 16V + -16V = 0 40 + -20V + 20v = -6 + 0 40 + -20V + 20v = -6 Add '-40' to each side of the equation. 40 + -20V + -40 + 20v = -6 + -40 Reorder the terms: 40 + -40 + -20V + 20v = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -20V + 20v = -6 + -40 -20V + 20v = -6 + -40 Combine like terms: -6 + -40 = -46 -20V + 20v = -46 Add '-20v' to each side of the equation. -20V + 20v + -20v = -46 + -20v Combine like terms: 20v + -20v = 0 -20V + 0 = -46 + -20v -20V = -46 + -20v Divide each side by '-20'. V = 2.3 + v Simplifying V = 2.3 + v
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