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Simplifying 2(3w + -9) + 2w = 166 Reorder the terms: 2(-9 + 3w) + 2w = 166 (-9 * 2 + 3w * 2) + 2w = 166 (-18 + 6w) + 2w = 166 Combine like terms: 6w + 2w = 8w -18 + 8w = 166 Solving -18 + 8w = 166 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8w = 166 + 18 Combine like terms: -18 + 18 = 0 0 + 8w = 166 + 18 8w = 166 + 18 Combine like terms: 166 + 18 = 184 8w = 184 Divide each side by '8'. w = 23 Simplifying w = 23
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