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Simplifying (w * 4) + [(1 + -1w) * 20] = 8.69 Reorder the terms for easier multiplication: (4w) + [(1 + -1w) * 20] = 8.69 Reorder the terms for easier multiplication: (4w) + [20(1 + -1w)] = 8.69 (4w) + [(1 * 20 + -1w * 20)] = 8.69 (4w) + [(20 + -20w)] = 8.69 (4w) + [20 + -20w] = 8.69 Remove brackets around [20 + -20w] (4w) + 20 + -20w = 8.69 Reorder the terms: 20 + (4w) + -20w = 8.69 Combine like terms: (4w) + -20w = -16w 20 + -16w = 8.69 Solving 20 + -16w = 8.69 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -16w = 8.69 + -20 Combine like terms: 20 + -20 = 0 0 + -16w = 8.69 + -20 -16w = 8.69 + -20 Combine like terms: 8.69 + -20 = -11.31 -16w = -11.31 Divide each side by '-16'. w = 0.706875 Simplifying w = 0.706875
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