3(2a-25)-2(a-1)=78

Solution for 3(2a-25)-2(a-1)=78 equation:

Simplifying
3(2a + -25) + -2(a + -1) = 78

Reorder the terms:
3(-25 + 2a) + -2(a + -1) = 78
(-25 * 3 + 2a * 3) + -2(a + -1) = 78
(-75 + 6a) + -2(a + -1) = 78

Reorder the terms:
-75 + 6a + -2(-1 + a) = 78
-75 + 6a + (-1 * -2 + a * -2) = 78
-75 + 6a + (2 + -2a) = 78

Reorder the terms:
-75 + 2 + 6a + -2a = 78

Combine like terms: -75 + 2 = -73
-73 + 6a + -2a = 78

Combine like terms: 6a + -2a = 4a
-73 + 4a = 78

Solving
-73 + 4a = 78

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '73' to each side of the equation.
-73 + 73 + 4a = 78 + 73

Combine like terms: -73 + 73 = 0
0 + 4a = 78 + 73
4a = 78 + 73

Combine like terms: 78 + 73 = 151
4a = 151

Divide each side by '4'.
a = 37.75

Simplifying
a = 37.75