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Simplifying 12v + 91 = 25v + -78 Reorder the terms: 91 + 12v = 25v + -78 Reorder the terms: 91 + 12v = -78 + 25v Solving 91 + 12v = -78 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. 91 + 12v + -25v = -78 + 25v + -25v Combine like terms: 12v + -25v = -13v 91 + -13v = -78 + 25v + -25v Combine like terms: 25v + -25v = 0 91 + -13v = -78 + 0 91 + -13v = -78 Add '-91' to each side of the equation. 91 + -91 + -13v = -78 + -91 Combine like terms: 91 + -91 = 0 0 + -13v = -78 + -91 -13v = -78 + -91 Combine like terms: -78 + -91 = -169 -13v = -169 Divide each side by '-13'. v = 13 Simplifying v = 13
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