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