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Simplifying 0 = (8s + -3T)(8S + t) Reorder the terms: 0 = (-3T + 8s)(8S + t) Multiply (-3T + 8s) * (8S + t) 0 = (-3T * (8S + t) + 8s * (8S + t)) 0 = ((8S * -3T + t * -3T) + 8s * (8S + t)) 0 = ((-24ST + -3tT) + 8s * (8S + t)) 0 = (-24ST + -3tT + (8S * 8s + t * 8s)) 0 = (-24ST + -3tT + (64sS + 8st)) Reorder the terms: 0 = (-24ST + 64sS + 8st + -3tT) 0 = (-24ST + 64sS + 8st + -3tT) Solving 0 = -24ST + 64sS + 8st + -3tT Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '24ST' to each side of the equation. 0 + 24ST = -24ST + 64sS + 8st + 24ST + -3tT Remove the zero: 24ST = -24ST + 64sS + 8st + 24ST + -3tT Reorder the terms: 24ST = -24ST + 24ST + 64sS + 8st + -3tT Combine like terms: -24ST + 24ST = 0 24ST = 0 + 64sS + 8st + -3tT 24ST = 64sS + 8st + -3tT Add '-64sS' to each side of the equation. 24ST + -64sS = 64sS + 8st + -64sS + -3tT Reorder the terms: 24ST + -64sS = 64sS + -64sS + 8st + -3tT Combine like terms: 64sS + -64sS = 0 24ST + -64sS = 0 + 8st + -3tT 24ST + -64sS = 8st + -3tT Reorder the terms: 24ST + -64sS + -8st + 3tT = 8st + -8st + -3tT + 3tT Combine like terms: 8st + -8st = 0 24ST + -64sS + -8st + 3tT = 0 + -3tT + 3tT 24ST + -64sS + -8st + 3tT = -3tT + 3tT Combine like terms: -3tT + 3tT = 0 24ST + -64sS + -8st + 3tT = 0 The solution to this equation could not be determined.
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