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Simplifying -3v + 8v + -21 = 9v + 4 + -9 Reorder the terms: -21 + -3v + 8v = 9v + 4 + -9 Combine like terms: -3v + 8v = 5v -21 + 5v = 9v + 4 + -9 Reorder the terms: -21 + 5v = 4 + -9 + 9v Combine like terms: 4 + -9 = -5 -21 + 5v = -5 + 9v Solving -21 + 5v = -5 + 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. -21 + 5v + -9v = -5 + 9v + -9v Combine like terms: 5v + -9v = -4v -21 + -4v = -5 + 9v + -9v Combine like terms: 9v + -9v = 0 -21 + -4v = -5 + 0 -21 + -4v = -5 Add '21' to each side of the equation. -21 + 21 + -4v = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -4v = -5 + 21 -4v = -5 + 21 Combine like terms: -5 + 21 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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