Solve the equation.

8n - (2n+5) = 43

1 answer

To solve the equation 8n - (2n+5) = 43, we first distribute the negative sign to the expression (2n+5) within the parentheses:

8n - 2n - 5 = 43.

Next, we combine like terms on the left side of the equation:

6n - 5 = 43.

To isolate the variable term on one side of the equation, we add 5 to both sides:

6n - 5 + 5 = 43 + 5,
6n = 48.

Finally, we divide both sides of the equation by 6 to solve for n:

6n/6 = 48/6,
n = 8.

Therefore, the solution to the equation is n = 8.