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Simplifying -9(v + 7) = 3v + -27 Reorder the terms: -9(7 + v) = 3v + -27 (7 * -9 + v * -9) = 3v + -27 (-63 + -9v) = 3v + -27 Reorder the terms: -63 + -9v = -27 + 3v Solving -63 + -9v = -27 + 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. -63 + -9v + -3v = -27 + 3v + -3v Combine like terms: -9v + -3v = -12v -63 + -12v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -63 + -12v = -27 + 0 -63 + -12v = -27 Add '63' to each side of the equation. -63 + 63 + -12v = -27 + 63 Combine like terms: -63 + 63 = 0 0 + -12v = -27 + 63 -12v = -27 + 63 Combine like terms: -27 + 63 = 36 -12v = 36 Divide each side by '-12'. v = -3 Simplifying v = -3
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