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Simplifying 9 = 3w + 7(w + 7) Reorder the terms: 9 = 3w + 7(7 + w) 9 = 3w + (7 * 7 + w * 7) 9 = 3w + (49 + 7w) Reorder the terms: 9 = 49 + 3w + 7w Combine like terms: 3w + 7w = 10w 9 = 49 + 10w Solving 9 = 49 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 9 + -10w = 49 + 10w + -10w Combine like terms: 10w + -10w = 0 9 + -10w = 49 + 0 9 + -10w = 49 Add '-9' to each side of the equation. 9 + -9 + -10w = 49 + -9 Combine like terms: 9 + -9 = 0 0 + -10w = 49 + -9 -10w = 49 + -9 Combine like terms: 49 + -9 = 40 -10w = 40 Divide each side by '-10'. w = -4 Simplifying w = -4
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