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Simplifying 2w + 8 = 4w + -8 Reorder the terms: 8 + 2w = 4w + -8 Reorder the terms: 8 + 2w = -8 + 4w Solving 8 + 2w = -8 + 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. 8 + 2w + -4w = -8 + 4w + -4w Combine like terms: 2w + -4w = -2w 8 + -2w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -2w = -8 + 0 8 + -2w = -8 Add '-8' to each side of the equation. 8 + -8 + -2w = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -8 + -8 -2w = -8 + -8 Combine like terms: -8 + -8 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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