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Simplifying w + 8 + -5w = -1w + -15w + 11w Reorder the terms: 8 + w + -5w = -1w + -15w + 11w Combine like terms: w + -5w = -4w 8 + -4w = -1w + -15w + 11w Combine like terms: -1w + -15w = -16w 8 + -4w = -16w + 11w Combine like terms: -16w + 11w = -5w 8 + -4w = -5w Solving 8 + -4w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 8 + -4w + 5w = -5w + 5w Combine like terms: -4w + 5w = 1w 8 + 1w = -5w + 5w Combine like terms: -5w + 5w = 0 8 + 1w = 0 Add '-8' to each side of the equation. 8 + -8 + 1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 0 + -8 1w = 0 + -8 Combine like terms: 0 + -8 = -8 1w = -8 Divide each side by '1'. w = -8 Simplifying w = -8
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