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Simplifying 220 = 2(2w + -40) + 2(w + 1) Reorder the terms: 220 = 2(-40 + 2w) + 2(w + 1) 220 = (-40 * 2 + 2w * 2) + 2(w + 1) 220 = (-80 + 4w) + 2(w + 1) Reorder the terms: 220 = -80 + 4w + 2(1 + w) 220 = -80 + 4w + (1 * 2 + w * 2) 220 = -80 + 4w + (2 + 2w) Reorder the terms: 220 = -80 + 2 + 4w + 2w Combine like terms: -80 + 2 = -78 220 = -78 + 4w + 2w Combine like terms: 4w + 2w = 6w 220 = -78 + 6w Solving 220 = -78 + 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. 220 + -6w = -78 + 6w + -6w Combine like terms: 6w + -6w = 0 220 + -6w = -78 + 0 220 + -6w = -78 Add '-220' to each side of the equation. 220 + -220 + -6w = -78 + -220 Combine like terms: 220 + -220 = 0 0 + -6w = -78 + -220 -6w = -78 + -220 Combine like terms: -78 + -220 = -298 -6w = -298 Divide each side by '-6'. w = 49.66666667 Simplifying w = 49.66666667
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