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Simplifying 3v + 27 = 12v + -54 Reorder the terms: 27 + 3v = 12v + -54 Reorder the terms: 27 + 3v = -54 + 12v Solving 27 + 3v = -54 + 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. 27 + 3v + -12v = -54 + 12v + -12v Combine like terms: 3v + -12v = -9v 27 + -9v = -54 + 12v + -12v Combine like terms: 12v + -12v = 0 27 + -9v = -54 + 0 27 + -9v = -54 Add '-27' to each side of the equation. 27 + -27 + -9v = -54 + -27 Combine like terms: 27 + -27 = 0 0 + -9v = -54 + -27 -9v = -54 + -27 Combine like terms: -54 + -27 = -81 -9v = -81 Divide each side by '-9'. v = 9 Simplifying v = 9
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