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Simplifying 8(w + 4) + -5w = 0 Reorder the terms: 8(4 + w) + -5w = 0 (4 * 8 + w * 8) + -5w = 0 (32 + 8w) + -5w = 0 Combine like terms: 8w + -5w = 3w 32 + 3w = 0 Solving 32 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 3w = 0 + -32 3w = 0 + -32 Combine like terms: 0 + -32 = -32 3w = -32 Divide each side by '3'. w = -10.66666667 Simplifying w = -10.66666667
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