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Simplifying 12v + -29 + 45 = 18v + -44 Reorder the terms: -29 + 45 + 12v = 18v + -44 Combine like terms: -29 + 45 = 16 16 + 12v = 18v + -44 Reorder the terms: 16 + 12v = -44 + 18v Solving 16 + 12v = -44 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 16 + 12v + -18v = -44 + 18v + -18v Combine like terms: 12v + -18v = -6v 16 + -6v = -44 + 18v + -18v Combine like terms: 18v + -18v = 0 16 + -6v = -44 + 0 16 + -6v = -44 Add '-16' to each side of the equation. 16 + -16 + -6v = -44 + -16 Combine like terms: 16 + -16 = 0 0 + -6v = -44 + -16 -6v = -44 + -16 Combine like terms: -44 + -16 = -60 -6v = -60 Divide each side by '-6'. v = 10 Simplifying v = 10
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