Question

1) 8n - 40 = 6(8 + 5n)

Answer 1

N=-4

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.

Answer 2

`\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}`