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Simplifying 4(w + 7) + 2 = 50 Reorder the terms: 4(7 + w) + 2 = 50 (7 * 4 + w * 4) + 2 = 50 (28 + 4w) + 2 = 50 Reorder the terms: 28 + 2 + 4w = 50 Combine like terms: 28 + 2 = 30 30 + 4w = 50 Solving 30 + 4w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4w = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 4w = 50 + -30 4w = 50 + -30 Combine like terms: 50 + -30 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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