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Simplifying 80 = 8w + 2(4w + 5) Reorder the terms: 80 = 8w + 2(5 + 4w) 80 = 8w + (5 * 2 + 4w * 2) 80 = 8w + (10 + 8w) Reorder the terms: 80 = 10 + 8w + 8w Combine like terms: 8w + 8w = 16w 80 = 10 + 16w Solving 80 = 10 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 80 + -16w = 10 + 16w + -16w Combine like terms: 16w + -16w = 0 80 + -16w = 10 + 0 80 + -16w = 10 Add '-80' to each side of the equation. 80 + -80 + -16w = 10 + -80 Combine like terms: 80 + -80 = 0 0 + -16w = 10 + -80 -16w = 10 + -80 Combine like terms: 10 + -80 = -70 -16w = -70 Divide each side by '-16'. w = 4.375 Simplifying w = 4.375
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