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Simplifying 4 + 6(w + 4) + w = 0 Reorder the terms: 4 + 6(4 + w) + w = 0 4 + (4 * 6 + w * 6) + w = 0 4 + (24 + 6w) + w = 0 Combine like terms: 4 + 24 = 28 28 + 6w + w = 0 Combine like terms: 6w + w = 7w 28 + 7w = 0 Solving 28 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7w = 0 + -28 7w = 0 + -28 Combine like terms: 0 + -28 = -28 7w = -28 Divide each side by '7'. w = -4 Simplifying w = -4
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