7(10-(4c+4))=-14c

Solution for 7(10-(4c+4))=-14c equation:

Simplifying
7(10 + -1(4c + 4)) = -14c

Reorder the terms:
7(10 + -1(4 + 4c)) = -14c
7(10 + (4 * -1 + 4c * -1)) = -14c
7(10 + (-4 + -4c)) = -14c

Combine like terms: 10 + -4 = 6
7(6 + -4c) = -14c
(6 * 7 + -4c * 7) = -14c
(42 + -28c) = -14c

Solving
42 + -28c = -14c

Solving for variable 'c'.

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

Add '14c' to each side of the equation.
42 + -28c + 14c = -14c + 14c

Combine like terms: -28c + 14c = -14c
42 + -14c = -14c + 14c

Combine like terms: -14c + 14c = 0
42 + -14c = 0

Add '-42' to each side of the equation.
42 + -42 + -14c = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -14c = 0 + -42
-14c = 0 + -42

Combine like terms: 0 + -42 = -42
-14c = -42

Divide each side by '-14'.
c = 3

Simplifying
c = 3