Simplify a - {b - [c - (d - e) - f] - g}.

Solution:

Given, the expression is a - {b - [c - (d - e) - f] - g}.

We have to simplify the given expression.

By BODMAS rule,

[c - (d - e) - f] = [c -(d) - (-e) - f

= c - d + e - f

Now, a - {b - [c - (d - e) - f] - g} = a - {b - [c - d + e - f] - g}

= a - {b -(c) - (-d) - (e) - (-f) - g}

= a - {b - c + d - e + f - g}

= a -(b) -(-c) -(d) -(-e) -(f) -(-g)

= a - b + c - d + e - f + g

Therefore, the simplified form is a - b + c - d + e - f + g.

Simplify a - {b - [c - (d - e) - f] - g}.

Summary:

On simplifying a - {b - [c - (d - e) - f] - g}, we get a - b + c - d + e - f + g.