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Simplifying 11(w + -8) + w + 4 = 0 Reorder the terms: 11(-8 + w) + w + 4 = 0 (-8 * 11 + w * 11) + w + 4 = 0 (-88 + 11w) + w + 4 = 0 Reorder the terms: -88 + 4 + 11w + w = 0 Combine like terms: -88 + 4 = -84 -84 + 11w + w = 0 Combine like terms: 11w + w = 12w -84 + 12w = 0 Solving -84 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 12w = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 12w = 0 + 84 12w = 0 + 84 Combine like terms: 0 + 84 = 84 12w = 84 Divide each side by '12'. w = 7 Simplifying w = 7
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