6(3a-7)-4a=112

Solution for 6(3a-7)-4a=112 equation:

Simplifying
6(3a + -7) + -4a = 112

Reorder the terms:
6(-7 + 3a) + -4a = 112
(-7 * 6 + 3a * 6) + -4a = 112
(-42 + 18a) + -4a = 112

Combine like terms: 18a + -4a = 14a
-42 + 14a = 112

Solving
-42 + 14a = 112

Solving for variable 'a'.

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

Add '42' to each side of the equation.
-42 + 42 + 14a = 112 + 42

Combine like terms: -42 + 42 = 0
0 + 14a = 112 + 42
14a = 112 + 42

Combine like terms: 112 + 42 = 154
14a = 154

Divide each side by '14'.
a = 11

Simplifying
a = 11