exam Maths Puzzle Numerical Ability

(t^3-3t^2+5t-6)/(t-2)

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I have a problem similar to question 159178 but it includes an extra fund in which the total available is to be invested. (instead of 2 there are 3 differnt funds x,y,z)
how do i
How do I solve the equation and find the property I use at each step to simplify the equation
4x + 11 = (5x + 34)/2