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Simplifying (w * 4) + [(1 + -1w) * 11] = 0 Reorder the terms for easier multiplication: (4w) + [(1 + -1w) * 11] = 0 Reorder the terms for easier multiplication: (4w) + [11(1 + -1w)] = 0 (4w) + [(1 * 11 + -1w * 11)] = 0 (4w) + [(11 + -11w)] = 0 (4w) + [11 + -11w] = 0 Remove brackets around [11 + -11w] (4w) + 11 + -11w = 0 Reorder the terms: 11 + (4w) + -11w = 0 Combine like terms: (4w) + -11w = -7w 11 + -7w = 0 Solving 11 + -7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7w = 0 + -11 -7w = 0 + -11 Combine like terms: 0 + -11 = -11 -7w = -11 Divide each side by '-7'. w = 1.571428571 Simplifying w = 1.571428571
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