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Simplifying -7(v + 3) = -9v + -27 Reorder the terms: -7(3 + v) = -9v + -27 (3 * -7 + v * -7) = -9v + -27 (-21 + -7v) = -9v + -27 Reorder the terms: -21 + -7v = -27 + -9v Solving -21 + -7v = -27 + -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 + -7v + 9v = -27 + -9v + 9v Combine like terms: -7v + 9v = 2v -21 + 2v = -27 + -9v + 9v Combine like terms: -9v + 9v = 0 -21 + 2v = -27 + 0 -21 + 2v = -27 Add '21' to each side of the equation. -21 + 21 + 2v = -27 + 21 Combine like terms: -21 + 21 = 0 0 + 2v = -27 + 21 2v = -27 + 21 Combine like terms: -27 + 21 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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