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Simplifying 40 = 2(15 + w) 40 = (15 * 2 + w * 2) 40 = (30 + 2w) Solving 40 = 30 + 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 = 30 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + -2w = 30 + 0 40 + -2w = 30 Add '-40' to each side of the equation. 40 + -40 + -2w = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -2w = 30 + -40 -2w = 30 + -40 Combine like terms: 30 + -40 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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