Question

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8, how do you simplify R - [S + T]?

Answer 1

The given equations can be rewritten with some minor re-sequencing of terms as:

#{: (Q," = ", , 7m, + 3n), (color(red)(R)," = ", color(red)(11), color(red)(- 2m), ), (color(blue)(S)," = ", color(blue)( 5), , color(blue)(+ n)), (color(blue)(T)," = ", color(blue)( 8), color(blue)(-m), color(blue)(- 3n)), ( , , , , ), (color(green)(S+T)," =", color(green)(13),color(green)(-m),color(green)(-2n)), (color(red)(R)-color(green)((S+T)),"=",-2,-m,2n) :}#