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Simplifying 7(w + 3) = 30 + 4w Reorder the terms: 7(3 + w) = 30 + 4w (3 * 7 + w * 7) = 30 + 4w (21 + 7w) = 30 + 4w Solving 21 + 7w = 30 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 21 + 7w + -4w = 30 + 4w + -4w Combine like terms: 7w + -4w = 3w 21 + 3w = 30 + 4w + -4w Combine like terms: 4w + -4w = 0 21 + 3w = 30 + 0 21 + 3w = 30 Add '-21' to each side of the equation. 21 + -21 + 3w = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 3w = 30 + -21 3w = 30 + -21 Combine like terms: 30 + -21 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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