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Simplifying 220 = 2(2w + -40) + 2(w) Reorder the terms: 220 = 2(-40 + 2w) + 2(w) 220 = (-40 * 2 + 2w * 2) + 2(w) 220 = (-80 + 4w) + 2(w) Combine like terms: 4w + 2w = 6w 220 = -80 + 6w Solving 220 = -80 + 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 = -80 + 6w + -6w Combine like terms: 6w + -6w = 0 220 + -6w = -80 + 0 220 + -6w = -80 Add '-220' to each side of the equation. 220 + -220 + -6w = -80 + -220 Combine like terms: 220 + -220 = 0 0 + -6w = -80 + -220 -6w = -80 + -220 Combine like terms: -80 + -220 = -300 -6w = -300 Divide each side by '-6'. w = 50 Simplifying w = 50
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