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Simplifying 2(4w + -9) = 14 Reorder the terms: 2(-9 + 4w) = 14 (-9 * 2 + 4w * 2) = 14 (-18 + 8w) = 14 Solving -18 + 8w = 14 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 = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 8w = 14 + 18 8w = 14 + 18 Combine like terms: 14 + 18 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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