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Simplifying -9v + -21 = -3(v + -1) Reorder the terms: -21 + -9v = -3(v + -1) Reorder the terms: -21 + -9v = -3(-1 + v) -21 + -9v = (-1 * -3 + v * -3) -21 + -9v = (3 + -3v) Solving -21 + -9v = 3 + -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 + -9v + 3v = 3 + -3v + 3v Combine like terms: -9v + 3v = -6v -21 + -6v = 3 + -3v + 3v Combine like terms: -3v + 3v = 0 -21 + -6v = 3 + 0 -21 + -6v = 3 Add '21' to each side of the equation. -21 + 21 + -6v = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -6v = 3 + 21 -6v = 3 + 21 Combine like terms: 3 + 21 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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