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Simplifying -7(w + -3) + 4w = 8(w + 9) Reorder the terms: -7(-3 + w) + 4w = 8(w + 9) (-3 * -7 + w * -7) + 4w = 8(w + 9) (21 + -7w) + 4w = 8(w + 9) Combine like terms: -7w + 4w = -3w 21 + -3w = 8(w + 9) Reorder the terms: 21 + -3w = 8(9 + w) 21 + -3w = (9 * 8 + w * 8) 21 + -3w = (72 + 8w) Solving 21 + -3w = 72 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 21 + -3w + -8w = 72 + 8w + -8w Combine like terms: -3w + -8w = -11w 21 + -11w = 72 + 8w + -8w Combine like terms: 8w + -8w = 0 21 + -11w = 72 + 0 21 + -11w = 72 Add '-21' to each side of the equation. 21 + -21 + -11w = 72 + -21 Combine like terms: 21 + -21 = 0 0 + -11w = 72 + -21 -11w = 72 + -21 Combine like terms: 72 + -21 = 51 -11w = 51 Divide each side by '-11'. w = -4.636363636 Simplifying w = -4.636363636
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