Question

Four times the difference of a number and seven is at least -52

Answer 1

Four times the difference of a number and seven is at least    -52

4(m   -    7 )    =         -   52     =========>     m     =       -6

Solve:

4(m   -   7)        =      -52

We move all terms to the left:

4(m    -   7)     -     (-52)     =   0

We add all the numbers together, and all the variables

4(m   -   7)   +   52    =   0

We multiply parentheses

4m   -     28    +   52    =    0

We add all the numbers together, and all the variables

4m   +   24   =   0

We move all terms containing m to the left, all other terms to the right

4m  =      -24

m       =      -24 / 4

Answer  ==========>     m        =         -6

I hope that helps, and what you are looking for        : )

Four times =====>  Multiply

Difference ======>  Subtract/Take Away

Sum  =====>   ADD