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 = 77
77 + 6a + -2a = 78

Combine like terms: 6a + -2a = 4a
77 + 4a = 78

Solving
77 + 4a = 78

Solving for variable 'a'.

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

Add '-77' to each side of the equation.
77 + -77 + 4a = 78 + -77

Combine like terms: 77 + -77 = 0
0 + 4a = 78 + -77
4a = 78 + -77

Combine like terms: 78 + -77 = 1
4a = 1

Divide each side by '4'.
a = 0.25

Simplifying
a = 0.25