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Simplifying 12v + 4 = 2(6 + 10v) + -8 Reorder the terms: 4 + 12v = 2(6 + 10v) + -8 4 + 12v = (6 * 2 + 10v * 2) + -8 4 + 12v = (12 + 20v) + -8 Reorder the terms: 4 + 12v = 12 + -8 + 20v Combine like terms: 12 + -8 = 4 4 + 12v = 4 + 20v Add '-4' to each side of the equation. 4 + -4 + 12v = 4 + -4 + 20v Combine like terms: 4 + -4 = 0 0 + 12v = 4 + -4 + 20v 12v = 4 + -4 + 20v Combine like terms: 4 + -4 = 0 12v = 0 + 20v 12v = 20v Solving 12v = 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 12v + -20v = 20v + -20v Combine like terms: 12v + -20v = -8v -8v = 20v + -20v Combine like terms: 20v + -20v = 0 -8v = 0 Divide each side by '-8'. v = 0 Simplifying v = 0
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