5(a+1)+2(a-3)

Simplify the following:
5 (a+1)+2 (a-3)

5 (a+1) = 5 a+5:
5 a+5+2 (a-3)

2 (a-3) = 2 a-6:
2 a-6+5 a+5

Grouping like terms, 5 a+2 a-6+5 = (5 a+2 a)+(5-6):
(5 a+2 a)+(5-6)

5 a+2 a = 7 a:
7 a+(5-6)

5-6 = -1:
Answer: |7a - 1