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Simplifying 8(9w + 2) + -12w = 46 Reorder the terms: 8(2 + 9w) + -12w = 46 (2 * 8 + 9w * 8) + -12w = 46 (16 + 72w) + -12w = 46 Combine like terms: 72w + -12w = 60w 16 + 60w = 46 Solving 16 + 60w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 60w = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 60w = 46 + -16 60w = 46 + -16 Combine like terms: 46 + -16 = 30 60w = 30 Divide each side by '60'. w = 0.5 Simplifying w = 0.5
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