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Simplifying 2v + 21 = -9(v + -6) Reorder the terms: 21 + 2v = -9(v + -6) Reorder the terms: 21 + 2v = -9(-6 + v) 21 + 2v = (-6 * -9 + v * -9) 21 + 2v = (54 + -9v) Solving 21 + 2v = 54 + -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 + 2v + 9v = 54 + -9v + 9v Combine like terms: 2v + 9v = 11v 21 + 11v = 54 + -9v + 9v Combine like terms: -9v + 9v = 0 21 + 11v = 54 + 0 21 + 11v = 54 Add '-21' to each side of the equation. 21 + -21 + 11v = 54 + -21 Combine like terms: 21 + -21 = 0 0 + 11v = 54 + -21 11v = 54 + -21 Combine like terms: 54 + -21 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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