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Simplifying 340 = 2(2w + 20) + 2w Reorder the terms: 340 = 2(20 + 2w) + 2w 340 = (20 * 2 + 2w * 2) + 2w 340 = (40 + 4w) + 2w Combine like terms: 4w + 2w = 6w 340 = 40 + 6w Solving 340 = 40 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 340 + -6w = 40 + 6w + -6w Combine like terms: 6w + -6w = 0 340 + -6w = 40 + 0 340 + -6w = 40 Add '-340' to each side of the equation. 340 + -340 + -6w = 40 + -340 Combine like terms: 340 + -340 = 0 0 + -6w = 40 + -340 -6w = 40 + -340 Combine like terms: 40 + -340 = -300 -6w = -300 Divide each side by '-6'. w = 50 Simplifying w = 50
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