6(1-c)-5(c+1)+2[(5-3c)+3]=-34

Solution for 6(1-c)-5(c+1)+2[(5-3c)+3]=-34 equation:

Simplifying
6(1 + -1c) + -5(c + 1) + 2[(5 + -3c) + 3] = -34
(1 * 6 + -1c * 6) + -5(c + 1) + 2[(5 + -3c) + 3] = -34
(6 + -6c) + -5(c + 1) + 2[(5 + -3c) + 3] = -34

Reorder the terms:
6 + -6c + -5(1 + c) + 2[(5 + -3c) + 3] = -34
6 + -6c + (1 * -5 + c * -5) + 2[(5 + -3c) + 3] = -34
6 + -6c + (-5 + -5c) + 2[(5 + -3c) + 3] = -34

Remove parenthesis around (5 + -3c)
6 + -6c + -5 + -5c + 2[5 + -3c + 3] = -34

Reorder the terms:
6 + -6c + -5 + -5c + 2[5 + 3 + -3c] = -34

Combine like terms: 5 + 3 = 8
6 + -6c + -5 + -5c + 2[8 + -3c] = -34
6 + -6c + -5 + -5c + [8 * 2 + -3c * 2] = -34
6 + -6c + -5 + -5c + [16 + -6c] = -34

Reorder the terms:
6 + -5 + 16 + -6c + -5c + -6c = -34

Combine like terms: 6 + -5 = 1
1 + 16 + -6c + -5c + -6c = -34

Combine like terms: 1 + 16 = 17
17 + -6c + -5c + -6c = -34

Combine like terms: -6c + -5c = -11c
17 + -11c + -6c = -34

Combine like terms: -11c + -6c = -17c
17 + -17c = -34

Solving
17 + -17c = -34

Solving for variable 'c'.

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

Add '-17' to each side of the equation.
17 + -17 + -17c = -34 + -17

Combine like terms: 17 + -17 = 0
0 + -17c = -34 + -17
-17c = -34 + -17

Combine like terms: -34 + -17 = -51
-17c = -51

Divide each side by '-17'.
c = 3

Simplifying
c = 3