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Simplifying 5w + 3(w + 4) = -28 Reorder the terms: 5w + 3(4 + w) = -28 5w + (4 * 3 + w * 3) = -28 5w + (12 + 3w) = -28 Reorder the terms: 12 + 5w + 3w = -28 Combine like terms: 5w + 3w = 8w 12 + 8w = -28 Solving 12 + 8w = -28 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8w = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 8w = -28 + -12 8w = -28 + -12 Combine like terms: -28 + -12 = -40 8w = -40 Divide each side by '8'. w = -5 Simplifying w = -5
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