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Simplifying 3(w + 9) = 7(w + 7) Reorder the terms: 3(9 + w) = 7(w + 7) (9 * 3 + w * 3) = 7(w + 7) (27 + 3w) = 7(w + 7) Reorder the terms: 27 + 3w = 7(7 + w) 27 + 3w = (7 * 7 + w * 7) 27 + 3w = (49 + 7w) Solving 27 + 3w = 49 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 27 + 3w + -7w = 49 + 7w + -7w Combine like terms: 3w + -7w = -4w 27 + -4w = 49 + 7w + -7w Combine like terms: 7w + -7w = 0 27 + -4w = 49 + 0 27 + -4w = 49 Add '-27' to each side of the equation. 27 + -27 + -4w = 49 + -27 Combine like terms: 27 + -27 = 0 0 + -4w = 49 + -27 -4w = 49 + -27 Combine like terms: 49 + -27 = 22 -4w = 22 Divide each side by '-4'. w = -5.5 Simplifying w = -5.5
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