3(2c+25)-2(c-1)=78

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

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

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

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

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

Combine like terms: 75 + 2 = 77
77 + 6c + -2c = 78

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

Solving
77 + 4c = 78

Solving for variable 'c'.

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

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

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

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

Divide each side by '4'.
c = 0.25

Simplifying
c = 0.25