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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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