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Simplifying 8w + 16 = 7w + 23 Reorder the terms: 16 + 8w = 7w + 23 Reorder the terms: 16 + 8w = 23 + 7w Solving 16 + 8w = 23 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 16 + 8w + -7w = 23 + 7w + -7w Combine like terms: 8w + -7w = 1w 16 + 1w = 23 + 7w + -7w Combine like terms: 7w + -7w = 0 16 + 1w = 23 + 0 16 + 1w = 23 Add '-16' to each side of the equation. 16 + -16 + 1w = 23 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = 23 + -16 1w = 23 + -16 Combine like terms: 23 + -16 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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