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Simplifying 71 = -8w + 16w + -9 Reorder the terms: 71 = -9 + -8w + 16w Combine like terms: -8w + 16w = 8w 71 = -9 + 8w Solving 71 = -9 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 71 + -8w = -9 + 8w + -8w Combine like terms: 8w + -8w = 0 71 + -8w = -9 + 0 71 + -8w = -9 Add '-71' to each side of the equation. 71 + -71 + -8w = -9 + -71 Combine like terms: 71 + -71 = 0 0 + -8w = -9 + -71 -8w = -9 + -71 Combine like terms: -9 + -71 = -80 -8w = -80 Divide each side by '-8'. w = 10 Simplifying w = 10
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