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Simplifying 5v + 16 = 3v + 6v + -12 Reorder the terms: 16 + 5v = 3v + 6v + -12 Reorder the terms: 16 + 5v = -12 + 3v + 6v Combine like terms: 3v + 6v = 9v 16 + 5v = -12 + 9v Solving 16 + 5v = -12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 16 + 5v + -9v = -12 + 9v + -9v Combine like terms: 5v + -9v = -4v 16 + -4v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 16 + -4v = -12 + 0 16 + -4v = -12 Add '-16' to each side of the equation. 16 + -16 + -4v = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4v = -12 + -16 -4v = -12 + -16 Combine like terms: -12 + -16 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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