Question

What is n -8+4(1+5n)=-6n-14

Answer 1

Answer:

n = (-5)/13

Step-by-step explanation:

Solve for n:

4 (5 n + 1) - 8 = -6 n - 14

4 (5 n + 1) = 20 n + 4:

20 n + 4 - 8 = -6 n - 14

Add like terms. 4 - 8 = -4:

20 n - 4 = -6 n - 14

Add 6 n to both sides:

20 n + 6 n - 4 = (6 n - 6 n) - 14

6 n - 6 n = 0:

20 n + 6 n - 4 = -14

20 n + 6 n = 26 n:

26 n - 4 = -14

Add 4 to both sides:

26 n + (4 - 4) = 4 - 14

4 - 4 = 0:

26 n = 4 - 14

4 - 14 = -10:

26 n = -10

Divide both sides of 26 n = -10 by 26:

(26 n)/26 = (-10)/26

26/26 = 1:

n = (-10)/26

The gcd of -10 and 26 is 2, so (-10)/26 = (2 (-5))/(2×13) = 2/2×(-5)/13 = (-5)/13:

Answer: n = (-5)/13