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Simplifying -2v + -27 = 3 + -6(-5 + -3v) Reorder the terms: -27 + -2v = 3 + -6(-5 + -3v) -27 + -2v = 3 + (-5 * -6 + -3v * -6) -27 + -2v = 3 + (30 + 18v) Combine like terms: 3 + 30 = 33 -27 + -2v = 33 + 18v Solving -27 + -2v = 33 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -27 + -2v + -18v = 33 + 18v + -18v Combine like terms: -2v + -18v = -20v -27 + -20v = 33 + 18v + -18v Combine like terms: 18v + -18v = 0 -27 + -20v = 33 + 0 -27 + -20v = 33 Add '27' to each side of the equation. -27 + 27 + -20v = 33 + 27 Combine like terms: -27 + 27 = 0 0 + -20v = 33 + 27 -20v = 33 + 27 Combine like terms: 33 + 27 = 60 -20v = 60 Divide each side by '-20'. v = -3 Simplifying v = -3
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