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