[tex]\text{Hello there!}\\\\\text{Solve for n:}\\\\8n - 40 = 6(8 + 5n)\\\\\text{First, distribute the 6 to the variables inside the parenthesis}\\\\8n-40=48+30n\\\\\text{Subtract both sides by -30n}\\\\-22n-40=48\\\\\text{Add 48 to both sides}\\\\-22n=88\\\\\text{Divide both sides by -22}\\\\n=-4\\\\\boxed{n=-4}[/tex]
Answer:
Step-by-step explanation:
Isolate n on one side of the equation.
DISTRIBUTIVE PROPERTY:
A(B+C)=AB+AC
A(B-C)=AB-AC
6(8+5n) (First, expand by using distributive property.)
6*8=48
6*5n=30n
48+30n
8n-40=48+30n
8n-40+40=48+30n+40 (Next, add 40 from both sides.)
48+40 (Solve.)
48+40=88
8n=30n+88
8n-30n=30n+88-30n (Subtract 30 from both sides.)
8n-30n (Solve.)
8n-30n=-22n
-22n=88
-22n/-22=88/-22 (Then, divide by -22 from both sides.)
88/-22 (Solve.)
88/-22=-4
n=-4
Therefore, the final answer is n=-4.
