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Simplifying 8w + -23 + 10w = 8 + -1w + 7 Reorder the terms: -23 + 8w + 10w = 8 + -1w + 7 Combine like terms: 8w + 10w = 18w -23 + 18w = 8 + -1w + 7 Reorder the terms: -23 + 18w = 8 + 7 + -1w Combine like terms: 8 + 7 = 15 -23 + 18w = 15 + -1w Solving -23 + 18w = 15 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -23 + 18w + w = 15 + -1w + w Combine like terms: 18w + w = 19w -23 + 19w = 15 + -1w + w Combine like terms: -1w + w = 0 -23 + 19w = 15 + 0 -23 + 19w = 15 Add '23' to each side of the equation. -23 + 23 + 19w = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 19w = 15 + 23 19w = 15 + 23 Combine like terms: 15 + 23 = 38 19w = 38 Divide each side by '19'. w = 2 Simplifying w = 2
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