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Simplifying 2w + 2(3w + -9) = 40 Reorder the terms: 2w + 2(-9 + 3w) = 40 2w + (-9 * 2 + 3w * 2) = 40 2w + (-18 + 6w) = 40 Reorder the terms: -18 + 2w + 6w = 40 Combine like terms: 2w + 6w = 8w -18 + 8w = 40 Solving -18 + 8w = 40 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 = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 8w = 40 + 18 8w = 40 + 18 Combine like terms: 40 + 18 = 58 8w = 58 Divide each side by '8'. w = 7.25 Simplifying w = 7.25
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