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Simplifying 8 + -2 = 5 + 5w + -4w Combine like terms: 8 + -2 = 6 6 = 5 + 5w + -4w Combine like terms: 5w + -4w = 1w 6 = 5 + 1w Solving 6 = 5 + 1w 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. 6 + -1w = 5 + 1w + -1w Combine like terms: 1w + -1w = 0 6 + -1w = 5 + 0 6 + -1w = 5 Add '-6' to each side of the equation. 6 + -6 + -1w = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 5 + -6 -1w = 5 + -6 Combine like terms: 5 + -6 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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