6+4[c-3(c-4)]=

Solution for 6+4[c-3(c-4)]= equation:

Simplifying
6 + 4[c + -3(c + -4)] = 0

Reorder the terms:
6 + 4[c + -3(-4 + c)] = 0
6 + 4[c + (-4 * -3 + c * -3)] = 0
6 + 4[c + (12 + -3c)] = 0

Reorder the terms:
6 + 4[12 + c + -3c] = 0

Combine like terms: c + -3c = -2c
6 + 4[12 + -2c] = 0
6 + [12 * 4 + -2c * 4] = 0
6 + [48 + -8c] = 0

Combine like terms: 6 + 48 = 54
54 + -8c = 0

Solving
54 + -8c = 0

Solving for variable 'c'.

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

Add '-54' to each side of the equation.
54 + -54 + -8c = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -8c = 0 + -54
-8c = 0 + -54

Combine like terms: 0 + -54 = -54
-8c = -54

Divide each side by '-8'.
c = 6.75

Simplifying
c = 6.75