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Simplifying -2v + -27 = 3 + -6(-5 + -3w) Reorder the terms: -27 + -2v = 3 + -6(-5 + -3w) -27 + -2v = 3 + (-5 * -6 + -3w * -6) -27 + -2v = 3 + (30 + 18w) Combine like terms: 3 + 30 = 33 -27 + -2v = 33 + 18w Solving -27 + -2v = 33 + 18w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2v = 33 + 27 + 18w Combine like terms: -27 + 27 = 0 0 + -2v = 33 + 27 + 18w -2v = 33 + 27 + 18w Combine like terms: 33 + 27 = 60 -2v = 60 + 18w Divide each side by '-2'. v = -30 + -9w Simplifying v = -30 + -9w
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