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Simplifying 21 + -1v = -3(v + -3) Reorder the terms: 21 + -1v = -3(-3 + v) 21 + -1v = (-3 * -3 + v * -3) 21 + -1v = (9 + -3v) Solving 21 + -1v = 9 + -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. 21 + -1v + 3v = 9 + -3v + 3v Combine like terms: -1v + 3v = 2v 21 + 2v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 21 + 2v = 9 + 0 21 + 2v = 9 Add '-21' to each side of the equation. 21 + -21 + 2v = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 2v = 9 + -21 2v = 9 + -21 Combine like terms: 9 + -21 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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