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Simplifying 248 = 2w + 2(2w + -8) Reorder the terms: 248 = 2w + 2(-8 + 2w) 248 = 2w + (-8 * 2 + 2w * 2) 248 = 2w + (-16 + 4w) Reorder the terms: 248 = -16 + 2w + 4w Combine like terms: 2w + 4w = 6w 248 = -16 + 6w Solving 248 = -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. 248 + -6w = -16 + 6w + -6w Combine like terms: 6w + -6w = 0 248 + -6w = -16 + 0 248 + -6w = -16 Add '-248' to each side of the equation. 248 + -248 + -6w = -16 + -248 Combine like terms: 248 + -248 = 0 0 + -6w = -16 + -248 -6w = -16 + -248 Combine like terms: -16 + -248 = -264 -6w = -264 Divide each side by '-6'. w = 44 Simplifying w = 44
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