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Simplifying 4(5 + 3w) + 5 = 49 (5 * 4 + 3w * 4) + 5 = 49 (20 + 12w) + 5 = 49 Reorder the terms: 20 + 5 + 12w = 49 Combine like terms: 20 + 5 = 25 25 + 12w = 49 Solving 25 + 12w = 49 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 12w = 49 + -25 Combine like terms: 25 + -25 = 0 0 + 12w = 49 + -25 12w = 49 + -25 Combine like terms: 49 + -25 = 24 12w = 24 Divide each side by '12'. w = 2 Simplifying w = 2
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