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Simplifying -3(v + -9) = -6v + 21 Reorder the terms: -3(-9 + v) = -6v + 21 (-9 * -3 + v * -3) = -6v + 21 (27 + -3v) = -6v + 21 Reorder the terms: 27 + -3v = 21 + -6v Solving 27 + -3v = 21 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 27 + -3v + 6v = 21 + -6v + 6v Combine like terms: -3v + 6v = 3v 27 + 3v = 21 + -6v + 6v Combine like terms: -6v + 6v = 0 27 + 3v = 21 + 0 27 + 3v = 21 Add '-27' to each side of the equation. 27 + -27 + 3v = 21 + -27 Combine like terms: 27 + -27 = 0 0 + 3v = 21 + -27 3v = 21 + -27 Combine like terms: 21 + -27 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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