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Simplifying -6 + 3(v + -9) = 6v + 27 Reorder the terms: -6 + 3(-9 + v) = 6v + 27 -6 + (-9 * 3 + v * 3) = 6v + 27 -6 + (-27 + 3v) = 6v + 27 Combine like terms: -6 + -27 = -33 -33 + 3v = 6v + 27 Reorder the terms: -33 + 3v = 27 + 6v Solving -33 + 3v = 27 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -33 + 3v + -6v = 27 + 6v + -6v Combine like terms: 3v + -6v = -3v -33 + -3v = 27 + 6v + -6v Combine like terms: 6v + -6v = 0 -33 + -3v = 27 + 0 -33 + -3v = 27 Add '33' to each side of the equation. -33 + 33 + -3v = 27 + 33 Combine like terms: -33 + 33 = 0 0 + -3v = 27 + 33 -3v = 27 + 33 Combine like terms: 27 + 33 = 60 -3v = 60 Divide each side by '-3'. v = -20 Simplifying v = -20
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