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Simplifying 8(w + 3) + 7w = -21 Reorder the terms: 8(3 + w) + 7w = -21 (3 * 8 + w * 8) + 7w = -21 (24 + 8w) + 7w = -21 Combine like terms: 8w + 7w = 15w 24 + 15w = -21 Solving 24 + 15w = -21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 15w = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 15w = -21 + -24 15w = -21 + -24 Combine like terms: -21 + -24 = -45 15w = -45 Divide each side by '15'. w = -3 Simplifying w = -3
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