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Simplifying (5r + -7s)(4r + 3s) = 3 Multiply (5r + -7s) * (4r + 3s) (5r * (4r + 3s) + -7s * (4r + 3s)) = 3 ((4r * 5r + 3s * 5r) + -7s * (4r + 3s)) = 3 Reorder the terms: ((15rs + 20r2) + -7s * (4r + 3s)) = 3 ((15rs + 20r2) + -7s * (4r + 3s)) = 3 (15rs + 20r2 + (4r * -7s + 3s * -7s)) = 3 (15rs + 20r2 + (-28rs + -21s2)) = 3 Reorder the terms: (15rs + -28rs + 20r2 + -21s2) = 3 Combine like terms: 15rs + -28rs = -13rs (-13rs + 20r2 + -21s2) = 3 Solving -13rs + 20r2 + -21s2 = 3 Solving for variable 'r'. Reorder the terms: -3 + -13rs + 20r2 + -21s2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -13rs + 20r2 + -21s2 = 0 The solution to this equation could not be determined.
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