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Simplifying 8w + 9 = 7w + 6 Reorder the terms: 9 + 8w = 7w + 6 Reorder the terms: 9 + 8w = 6 + 7w Solving 9 + 8w = 6 + 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. 9 + 8w + -7w = 6 + 7w + -7w Combine like terms: 8w + -7w = 1w 9 + 1w = 6 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + 1w = 6 + 0 9 + 1w = 6 Add '-9' to each side of the equation. 9 + -9 + 1w = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = 6 + -9 1w = 6 + -9 Combine like terms: 6 + -9 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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