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Simplifying 5 + 7(w + 4) + w = 0 Reorder the terms: 5 + 7(4 + w) + w = 0 5 + (4 * 7 + w * 7) + w = 0 5 + (28 + 7w) + w = 0 Combine like terms: 5 + 28 = 33 33 + 7w + w = 0 Combine like terms: 7w + w = 8w 33 + 8w = 0 Solving 33 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 8w = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 8w = 0 + -33 8w = 0 + -33 Combine like terms: 0 + -33 = -33 8w = -33 Divide each side by '8'. w = -4.125 Simplifying w = -4.125
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