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Simplifying 224 = 2w + 2(2w + -8) Reorder the terms: 224 = 2w + 2(-8 + 2w) 224 = 2w + (-8 * 2 + 2w * 2) 224 = 2w + (-16 + 4w) Reorder the terms: 224 = -16 + 2w + 4w Combine like terms: 2w + 4w = 6w 224 = -16 + 6w Solving 224 = -16 + 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. 224 + -6w = -16 + 6w + -6w Combine like terms: 6w + -6w = 0 224 + -6w = -16 + 0 224 + -6w = -16 Add '-224' to each side of the equation. 224 + -224 + -6w = -16 + -224 Combine like terms: 224 + -224 = 0 0 + -6w = -16 + -224 -6w = -16 + -224 Combine like terms: -16 + -224 = -240 -6w = -240 Divide each side by '-6'. w = 40 Simplifying w = 40
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