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Simplifying 9w + -16 = 8w + 26 Reorder the terms: -16 + 9w = 8w + 26 Reorder the terms: -16 + 9w = 26 + 8w Solving -16 + 9w = 26 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -16 + 9w + -8w = 26 + 8w + -8w Combine like terms: 9w + -8w = 1w -16 + 1w = 26 + 8w + -8w Combine like terms: 8w + -8w = 0 -16 + 1w = 26 + 0 -16 + 1w = 26 Add '16' to each side of the equation. -16 + 16 + 1w = 26 + 16 Combine like terms: -16 + 16 = 0 0 + 1w = 26 + 16 1w = 26 + 16 Combine like terms: 26 + 16 = 42 1w = 42 Divide each side by '1'. w = 42 Simplifying w = 42
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