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Simplifying -1(w + 5) + 2w + -11 = -27 Reorder the terms: -1(5 + w) + 2w + -11 = -27 (5 * -1 + w * -1) + 2w + -11 = -27 (-5 + -1w) + 2w + -11 = -27 Reorder the terms: -5 + -11 + -1w + 2w = -27 Combine like terms: -5 + -11 = -16 -16 + -1w + 2w = -27 Combine like terms: -1w + 2w = 1w -16 + 1w = -27 Solving -16 + 1w = -27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1w = -27 + 16 Combine like terms: -16 + 16 = 0 0 + 1w = -27 + 16 1w = -27 + 16 Combine like terms: -27 + 16 = -11 1w = -11 Divide each side by '1'. w = -11 Simplifying w = -11
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