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Simplifying 4 + 9(2w + -9) = 14w + -1 Reorder the terms: 4 + 9(-9 + 2w) = 14w + -1 4 + (-9 * 9 + 2w * 9) = 14w + -1 4 + (-81 + 18w) = 14w + -1 Combine like terms: 4 + -81 = -77 -77 + 18w = 14w + -1 Reorder the terms: -77 + 18w = -1 + 14w Solving -77 + 18w = -1 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -77 + 18w + -14w = -1 + 14w + -14w Combine like terms: 18w + -14w = 4w -77 + 4w = -1 + 14w + -14w Combine like terms: 14w + -14w = 0 -77 + 4w = -1 + 0 -77 + 4w = -1 Add '77' to each side of the equation. -77 + 77 + 4w = -1 + 77 Combine like terms: -77 + 77 = 0 0 + 4w = -1 + 77 4w = -1 + 77 Combine like terms: -1 + 77 = 76 4w = 76 Divide each side by '4'. w = 19 Simplifying w = 19
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