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Simplifying 7w + 3(4w + 8) = 5 Reorder the terms: 7w + 3(8 + 4w) = 5 7w + (8 * 3 + 4w * 3) = 5 7w + (24 + 12w) = 5 Reorder the terms: 24 + 7w + 12w = 5 Combine like terms: 7w + 12w = 19w 24 + 19w = 5 Solving 24 + 19w = 5 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 + 19w = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 19w = 5 + -24 19w = 5 + -24 Combine like terms: 5 + -24 = -19 19w = -19 Divide each side by '19'. w = -1 Simplifying w = -1
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