2(3b+6) =78
Expanding the left side of the equation:
6b + 12 = 78
Solving for b:
6b = 66
b = 11
Now we will check the left side and the right side of the equation:
2(3(11) + 6) = 2(33+6) = 2(39) = 78
On the other side of the equation:
-2(6c-3) = -72
Expanding the left side of the equation:
-12c + 6 = -72
Solving for c:
-12c = -78
c = 6.5
Now we will check the left side and the right side of the equation:
-2(6(6.5) - 3) = -2(39 -3) = -2(36) = -72
This equation is true, the left side of the equation equals to the right side of the equation.
The solution for the first equation is b = 11
The solution for the second equation is c = 6.5