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Simplifying 3w + 7(3w + 7) + -5 = 104 Reorder the terms: 3w + 7(7 + 3w) + -5 = 104 3w + (7 * 7 + 3w * 7) + -5 = 104 3w + (49 + 21w) + -5 = 104 Reorder the terms: 49 + -5 + 3w + 21w = 104 Combine like terms: 49 + -5 = 44 44 + 3w + 21w = 104 Combine like terms: 3w + 21w = 24w 44 + 24w = 104 Solving 44 + 24w = 104 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 24w = 104 + -44 Combine like terms: 44 + -44 = 0 0 + 24w = 104 + -44 24w = 104 + -44 Combine like terms: 104 + -44 = 60 24w = 60 Divide each side by '24'. w = 2.5 Simplifying w = 2.5
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