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Simplifying 12(12v + 12) + -10 = 2 + 12v Reorder the terms: 12(12 + 12v) + -10 = 2 + 12v (12 * 12 + 12v * 12) + -10 = 2 + 12v (144 + 144v) + -10 = 2 + 12v Reorder the terms: 144 + -10 + 144v = 2 + 12v Combine like terms: 144 + -10 = 134 134 + 144v = 2 + 12v Solving 134 + 144v = 2 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 134 + 144v + -12v = 2 + 12v + -12v Combine like terms: 144v + -12v = 132v 134 + 132v = 2 + 12v + -12v Combine like terms: 12v + -12v = 0 134 + 132v = 2 + 0 134 + 132v = 2 Add '-134' to each side of the equation. 134 + -134 + 132v = 2 + -134 Combine like terms: 134 + -134 = 0 0 + 132v = 2 + -134 132v = 2 + -134 Combine like terms: 2 + -134 = -132 132v = -132 Divide each side by '132'. v = -1 Simplifying v = -1
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