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Simplifying -3(v + -3) = -8v + -21 Reorder the terms: -3(-3 + v) = -8v + -21 (-3 * -3 + v * -3) = -8v + -21 (9 + -3v) = -8v + -21 Reorder the terms: 9 + -3v = -21 + -8v Solving 9 + -3v = -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 + -3v + 8v = -21 + -8v + 8v Combine like terms: -3v + 8v = 5v 9 + 5v = -21 + -8v + 8v Combine like terms: -8v + 8v = 0 9 + 5v = -21 + 0 9 + 5v = -21 Add '-9' to each side of the equation. 9 + -9 + 5v = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 5v = -21 + -9 5v = -21 + -9 Combine like terms: -21 + -9 = -30 5v = -30 Divide each side by '5'. v = -6 Simplifying v = -6
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