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Simplifying 7(w + 4) + 3w + 27 = 0 Reorder the terms: 7(4 + w) + 3w + 27 = 0 (4 * 7 + w * 7) + 3w + 27 = 0 (28 + 7w) + 3w + 27 = 0 Reorder the terms: 28 + 27 + 7w + 3w = 0 Combine like terms: 28 + 27 = 55 55 + 7w + 3w = 0 Combine like terms: 7w + 3w = 10w 55 + 10w = 0 Solving 55 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 10w = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 10w = 0 + -55 10w = 0 + -55 Combine like terms: 0 + -55 = -55 10w = -55 Divide each side by '10'. w = -5.5 Simplifying w = -5.5
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