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Simplifying 8 + -4 = 2 + w Combine like terms: 8 + -4 = 4 4 = 2 + w Solving 4 = 2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 4 + -1w = 2 + w + -1w Combine like terms: w + -1w = 0 4 + -1w = 2 + 0 4 + -1w = 2 Add '-4' to each side of the equation. 4 + -4 + -1w = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 2 + -4 -1w = 2 + -4 Combine like terms: 2 + -4 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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