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Simplifying 6(9w + 8) + -9 = 6w + 567 Reorder the terms: 6(8 + 9w) + -9 = 6w + 567 (8 * 6 + 9w * 6) + -9 = 6w + 567 (48 + 54w) + -9 = 6w + 567 Reorder the terms: 48 + -9 + 54w = 6w + 567 Combine like terms: 48 + -9 = 39 39 + 54w = 6w + 567 Reorder the terms: 39 + 54w = 567 + 6w Solving 39 + 54w = 567 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 39 + 54w + -6w = 567 + 6w + -6w Combine like terms: 54w + -6w = 48w 39 + 48w = 567 + 6w + -6w Combine like terms: 6w + -6w = 0 39 + 48w = 567 + 0 39 + 48w = 567 Add '-39' to each side of the equation. 39 + -39 + 48w = 567 + -39 Combine like terms: 39 + -39 = 0 0 + 48w = 567 + -39 48w = 567 + -39 Combine like terms: 567 + -39 = 528 48w = 528 Divide each side by '48'. w = 11 Simplifying w = 11
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