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Simplifying 16v + 8 + -21v + 12 = -1v + 4v + -20 Reorder the terms: 8 + 12 + 16v + -21v = -1v + 4v + -20 Combine like terms: 8 + 12 = 20 20 + 16v + -21v = -1v + 4v + -20 Combine like terms: 16v + -21v = -5v 20 + -5v = -1v + 4v + -20 Reorder the terms: 20 + -5v = -20 + -1v + 4v Combine like terms: -1v + 4v = 3v 20 + -5v = -20 + 3v Solving 20 + -5v = -20 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 20 + -5v + -3v = -20 + 3v + -3v Combine like terms: -5v + -3v = -8v 20 + -8v = -20 + 3v + -3v Combine like terms: 3v + -3v = 0 20 + -8v = -20 + 0 20 + -8v = -20 Add '-20' to each side of the equation. 20 + -20 + -8v = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -8v = -20 + -20 -8v = -20 + -20 Combine like terms: -20 + -20 = -40 -8v = -40 Divide each side by '-8'. v = 5 Simplifying v = 5
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