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Simplifying 7(w + 3) = 45 + 3w Reorder the terms: 7(3 + w) = 45 + 3w (3 * 7 + w * 7) = 45 + 3w (21 + 7w) = 45 + 3w Solving 21 + 7w = 45 + 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 = 45 + 3w + -3w Combine like terms: 7w + -3w = 4w 21 + 4w = 45 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + 4w = 45 + 0 21 + 4w = 45 Add '-21' to each side of the equation. 21 + -21 + 4w = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 4w = 45 + -21 4w = 45 + -21 Combine like terms: 45 + -21 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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