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Simplifying W(w + 6) * 4w = -7 + w(w + 9) Reorder the terms: W(6 + w) * 4w = -7 + w(w + 9) Reorder the terms for easier multiplication: 4W * w(6 + w) = -7 + w(w + 9) Multiply W * w 4wW(6 + w) = -7 + w(w + 9) (6 * 4wW + w * 4wW) = -7 + w(w + 9) (24wW + 4w2W) = -7 + w(w + 9) Reorder the terms: 24wW + 4w2W = -7 + w(9 + w) 24wW + 4w2W = -7 + (9 * w + w * w) 24wW + 4w2W = -7 + (9w + w2) Solving 24wW + 4w2W = -7 + 9w + w2 Solving for variable 'w'. Reorder the terms: 7 + -9w + 24wW + -1w2 + 4w2W = -7 + 9w + w2 + 7 + -9w + -1w2 Reorder the terms: 7 + -9w + 24wW + -1w2 + 4w2W = -7 + 7 + 9w + -9w + w2 + -1w2 Combine like terms: -7 + 7 = 0 7 + -9w + 24wW + -1w2 + 4w2W = 0 + 9w + -9w + w2 + -1w2 7 + -9w + 24wW + -1w2 + 4w2W = 9w + -9w + w2 + -1w2 Combine like terms: 9w + -9w = 0 7 + -9w + 24wW + -1w2 + 4w2W = 0 + w2 + -1w2 7 + -9w + 24wW + -1w2 + 4w2W = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 7 + -9w + 24wW + -1w2 + 4w2W = 0 The solution to this equation could not be determined.
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