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Simplifying 2v + -9 = 8v + -21 Reorder the terms: -9 + 2v = 8v + -21 Reorder the terms: -9 + 2v = -21 + 8v Solving -9 + 2v = -21 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -9 + 2v + -8v = -21 + 8v + -8v Combine like terms: 2v + -8v = -6v -9 + -6v = -21 + 8v + -8v Combine like terms: 8v + -8v = 0 -9 + -6v = -21 + 0 -9 + -6v = -21 Add '9' to each side of the equation. -9 + 9 + -6v = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -6v = -21 + 9 -6v = -21 + 9 Combine like terms: -21 + 9 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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