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Simplifying 11(w + 3) + 9 = 4w + -6 Reorder the terms: 11(3 + w) + 9 = 4w + -6 (3 * 11 + w * 11) + 9 = 4w + -6 (33 + 11w) + 9 = 4w + -6 Reorder the terms: 33 + 9 + 11w = 4w + -6 Combine like terms: 33 + 9 = 42 42 + 11w = 4w + -6 Reorder the terms: 42 + 11w = -6 + 4w Solving 42 + 11w = -6 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 42 + 11w + -4w = -6 + 4w + -4w Combine like terms: 11w + -4w = 7w 42 + 7w = -6 + 4w + -4w Combine like terms: 4w + -4w = 0 42 + 7w = -6 + 0 42 + 7w = -6 Add '-42' to each side of the equation. 42 + -42 + 7w = -6 + -42 Combine like terms: 42 + -42 = 0 0 + 7w = -6 + -42 7w = -6 + -42 Combine like terms: -6 + -42 = -48 7w = -48 Divide each side by '7'. w = -6.857142857 Simplifying w = -6.857142857
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