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Simplifying 40 = 2(12 + w) 40 = (12 * 2 + w * 2) 40 = (24 + 2w) Solving 40 = 24 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 40 + -2w = 24 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + -2w = 24 + 0 40 + -2w = 24 Add '-40' to each side of the equation. 40 + -40 + -2w = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -2w = 24 + -40 -2w = 24 + -40 Combine like terms: 24 + -40 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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