The rules for simplifying an expression of the type given in the question by removing grouping symbols, i.e. parenthesis, are simple. When the parenthesis is preceded by a positive sign, all the term within the parenthesis retain their original signs after removing parenthesis. When the parenthesis is preceded by a negative sign, all the term within the parenthesis have their original signs reversed after removing parenthesis, that a positive sign is changed to negative and a negative sign is changed to positive. Please not that when no sign is explicitly indicated before a term it means a term with positive value.
Using this rule we simplify the given expression as follows.
E = m - (m + 1) + (m-3) - (4m^2 + 6m + 4)
= m - m - 1 + m - 3 - 4m^2 - 6m - 4
= - 4m^2 + m - m + m - 6m - 1 - 3 - 4
= - 4m^2 + 2m - 7m - 8
= - 4m^2 - 5m - 8
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