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t in (-oo:+oo)
5*t-7 = -23/2 // + -23/2
5*t-(-23/2)-7 = 0
5*t+23/2-7 = 0
5*t+9/2 = 0 // - 9/2
5*t = -9/2 // : 5
t = -9/2/5
t = -9/10
t = -9/10
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