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Simplifying 8 = 3(3w + 8) + -1w Reorder the terms: 8 = 3(8 + 3w) + -1w 8 = (8 * 3 + 3w * 3) + -1w 8 = (24 + 9w) + -1w Combine like terms: 9w + -1w = 8w 8 = 24 + 8w Solving 8 = 24 + 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. 8 + -8w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 8 + -8w = 24 + 0 8 + -8w = 24 Add '-8' to each side of the equation. 8 + -8 + -8w = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -8w = 24 + -8 -8w = 24 + -8 Combine like terms: 24 + -8 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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