Question

55=3(2n-1)+2(n+5)

what is the value of ‘n’

please show steps on how to solve the problem

Answer 1

n = 6

Starting with the equation:

55 = 3(2n - 1) + 2(n + 5)

Expanding the parentheses on the right side:

55 = 3(2n - 1) + 2n + 10

Combining like terms:

55 = 3(2n - 1) + 2n + 10

55 = 2n + 3(2n - 1) + 10

55 = 2n + 6n - 3 + 10

55 = 8n + 7

Finally, solving for 'n':

55 - 7 = 8n

48 = 8n

n = 6.

Answer 2

Explanation:

55=3(2n-1)+2(n+5)

DISTRIBUTE [PEMDAS]

3(2n-1) = 6n - 1

2(n+5) = 2n + 10

COMBINE LIKE TERMS

55 = 6n - 1 + 2n + 10

THEN SUBTRACT FROM BOTH SIDES

55 = 9n + 9
-9 -9

DIVIDE ON BOTH SIDES

46 = 9n

FINAL ANSWER

`(49)/(9)` = n
hope this helps :)