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Simplifying 12 + 4v = 5v + 7 Reorder the terms: 12 + 4v = 7 + 5v Solving 12 + 4v = 7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 12 + 4v + -5v = 7 + 5v + -5v Combine like terms: 4v + -5v = -1v 12 + -1v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 12 + -1v = 7 + 0 12 + -1v = 7 Add '-12' to each side of the equation. 12 + -12 + -1v = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -1v = 7 + -12 -1v = 7 + -12 Combine like terms: 7 + -12 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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