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Simplifying 7(w + 3) = 3w + 49 Reorder the terms: 7(3 + w) = 3w + 49 (3 * 7 + w * 7) = 3w + 49 (21 + 7w) = 3w + 49 Reorder the terms: 21 + 7w = 49 + 3w Solving 21 + 7w = 49 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 21 + 7w + -3w = 49 + 3w + -3w Combine like terms: 7w + -3w = 4w 21 + 4w = 49 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + 4w = 49 + 0 21 + 4w = 49 Add '-21' to each side of the equation. 21 + -21 + 4w = 49 + -21 Combine like terms: 21 + -21 = 0 0 + 4w = 49 + -21 4w = 49 + -21 Combine like terms: 49 + -21 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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