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Simplifying 3(5w + 8) + -10w + -3w = -6 Reorder the terms: 3(8 + 5w) + -10w + -3w = -6 (8 * 3 + 5w * 3) + -10w + -3w = -6 (24 + 15w) + -10w + -3w = -6 Combine like terms: 15w + -10w = 5w 24 + 5w + -3w = -6 Combine like terms: 5w + -3w = 2w 24 + 2w = -6 Solving 24 + 2w = -6 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 + 2w = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 2w = -6 + -24 2w = -6 + -24 Combine like terms: -6 + -24 = -30 2w = -30 Divide each side by '2'. w = -15 Simplifying w = -15
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