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Simplifying -3v + 21 = -9(v + -5) Reorder the terms: 21 + -3v = -9(v + -5) Reorder the terms: 21 + -3v = -9(-5 + v) 21 + -3v = (-5 * -9 + v * -9) 21 + -3v = (45 + -9v) Solving 21 + -3v = 45 + -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 + -3v + 9v = 45 + -9v + 9v Combine like terms: -3v + 9v = 6v 21 + 6v = 45 + -9v + 9v Combine like terms: -9v + 9v = 0 21 + 6v = 45 + 0 21 + 6v = 45 Add '-21' to each side of the equation. 21 + -21 + 6v = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 6v = 45 + -21 6v = 45 + -21 Combine like terms: 45 + -21 = 24 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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