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Simplifying -27 = -5w + 2(w + -3) Reorder the terms: -27 = -5w + 2(-3 + w) -27 = -5w + (-3 * 2 + w * 2) -27 = -5w + (-6 + 2w) Reorder the terms: -27 = -6 + -5w + 2w Combine like terms: -5w + 2w = -3w -27 = -6 + -3w Solving -27 = -6 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -27 + 3w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 -27 + 3w = -6 + 0 -27 + 3w = -6 Add '27' to each side of the equation. -27 + 27 + 3w = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 3w = -6 + 27 3w = -6 + 27 Combine like terms: -6 + 27 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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