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Simplifying -10w + -9 = 18w + 21 Reorder the terms: -9 + -10w = 18w + 21 Reorder the terms: -9 + -10w = 21 + 18w Solving -9 + -10w = 21 + 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. -9 + -10w + -18w = 21 + 18w + -18w Combine like terms: -10w + -18w = -28w -9 + -28w = 21 + 18w + -18w Combine like terms: 18w + -18w = 0 -9 + -28w = 21 + 0 -9 + -28w = 21 Add '9' to each side of the equation. -9 + 9 + -28w = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -28w = 21 + 9 -28w = 21 + 9 Combine like terms: 21 + 9 = 30 -28w = 30 Divide each side by '-28'. w = -1.071428571 Simplifying w = -1.071428571
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