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Simplifying -9 + -27 = 3(v + 3) Combine like terms: -9 + -27 = -36 -36 = 3(v + 3) Reorder the terms: -36 = 3(3 + v) -36 = (3 * 3 + v * 3) -36 = (9 + 3v) Solving -36 = 9 + 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. -36 + -3v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 -36 + -3v = 9 + 0 -36 + -3v = 9 Add '36' to each side of the equation. -36 + 36 + -3v = 9 + 36 Combine like terms: -36 + 36 = 0 0 + -3v = 9 + 36 -3v = 9 + 36 Combine like terms: 9 + 36 = 45 -3v = 45 Divide each side by '-3'. v = -15 Simplifying v = -15
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