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Simplifying 400 = 2(70 + w) + 2w 400 = (70 * 2 + w * 2) + 2w 400 = (140 + 2w) + 2w Combine like terms: 2w + 2w = 4w 400 = 140 + 4w Solving 400 = 140 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 400 + -4w = 140 + 4w + -4w Combine like terms: 4w + -4w = 0 400 + -4w = 140 + 0 400 + -4w = 140 Add '-400' to each side of the equation. 400 + -400 + -4w = 140 + -400 Combine like terms: 400 + -400 = 0 0 + -4w = 140 + -400 -4w = 140 + -400 Combine like terms: 140 + -400 = -260 -4w = -260 Divide each side by '-4'. w = 65 Simplifying w = 65
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