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Simplifying (7r + -6s)(4t + -5u) = 0 Multiply (7r + -6s) * (4t + -5u) (7r * (4t + -5u) + -6s * (4t + -5u)) = 0 ((4t * 7r + -5u * 7r) + -6s * (4t + -5u)) = 0 ((28rt + -35ru) + -6s * (4t + -5u)) = 0 (28rt + -35ru + (4t * -6s + -5u * -6s)) = 0 (28rt + -35ru + (-24st + 30su)) = 0 (28rt + -35ru + -24st + 30su) = 0 Solving 28rt + -35ru + -24st + 30su = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24st' to each side of the equation. 28rt + -35ru + -24st + 24st + 30su = 0 + 24st Combine like terms: -24st + 24st = 0 28rt + -35ru + 0 + 30su = 0 + 24st 28rt + -35ru + 30su = 0 + 24st Remove the zero: 28rt + -35ru + 30su = 24st Add '-30su' to each side of the equation. 28rt + -35ru + 30su + -30su = 24st + -30su Combine like terms: 30su + -30su = 0 28rt + -35ru + 0 = 24st + -30su 28rt + -35ru = 24st + -30su Reorder the terms: 28rt + -35ru + -24st + 30su = 24st + -24st + -30su + 30su Combine like terms: 24st + -24st = 0 28rt + -35ru + -24st + 30su = 0 + -30su + 30su 28rt + -35ru + -24st + 30su = -30su + 30su Combine like terms: -30su + 30su = 0 28rt + -35ru + -24st + 30su = 0 The solution to this equation could not be determined.
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