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Simplifying 40 = 2(3w + 4) + 2w Reorder the terms: 40 = 2(4 + 3w) + 2w 40 = (4 * 2 + 3w * 2) + 2w 40 = (8 + 6w) + 2w Combine like terms: 6w + 2w = 8w 40 = 8 + 8w Solving 40 = 8 + 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. 40 + -8w = 8 + 8w + -8w Combine like terms: 8w + -8w = 0 40 + -8w = 8 + 0 40 + -8w = 8 Add '-40' to each side of the equation. 40 + -40 + -8w = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -8w = 8 + -40 -8w = 8 + -40 Combine like terms: 8 + -40 = -32 -8w = -32 Divide each side by '-8'. w = 4 Simplifying w = 4
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