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Simplifying 4w + 7 = 9(2w + 6) Reorder the terms: 7 + 4w = 9(2w + 6) Reorder the terms: 7 + 4w = 9(6 + 2w) 7 + 4w = (6 * 9 + 2w * 9) 7 + 4w = (54 + 18w) Solving 7 + 4w = 54 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 7 + 4w + -18w = 54 + 18w + -18w Combine like terms: 4w + -18w = -14w 7 + -14w = 54 + 18w + -18w Combine like terms: 18w + -18w = 0 7 + -14w = 54 + 0 7 + -14w = 54 Add '-7' to each side of the equation. 7 + -7 + -14w = 54 + -7 Combine like terms: 7 + -7 = 0 0 + -14w = 54 + -7 -14w = 54 + -7 Combine like terms: 54 + -7 = 47 -14w = 47 Divide each side by '-14'. w = -3.357142857 Simplifying w = -3.357142857
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