I am working with mathematical induction, but it gets harder when it comes to convert (or change) the form of the equation with algebra.
I have: $2+(k-1)2^{k+1} + (k+1)2^{k+1}$
And want it to reach this form: $2+((k+1)-1)2^{(k+1)+1}$
What are algebra rules/steps or simplification rules/steps I can use to reach the required form?