-6(a+7)=6-2(-3-6a)

Solution for -6(a+7)=6-2(-3-6a) equation:

Simplifying
-6(a + 7) = 6 + -2(-3 + -6a)

Reorder the terms:
-6(7 + a) = 6 + -2(-3 + -6a)
(7 * -6 + a * -6) = 6 + -2(-3 + -6a)
(-42 + -6a) = 6 + -2(-3 + -6a)
-42 + -6a = 6 + (-3 * -2 + -6a * -2)
-42 + -6a = 6 + (6 + 12a)

Combine like terms: 6 + 6 = 12
-42 + -6a = 12 + 12a

Solving
-42 + -6a = 12 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-42 + -6a + -12a = 12 + 12a + -12a

Combine like terms: -6a + -12a = -18a
-42 + -18a = 12 + 12a + -12a

Combine like terms: 12a + -12a = 0
-42 + -18a = 12 + 0
-42 + -18a = 12

Add '42' to each side of the equation.
-42 + 42 + -18a = 12 + 42

Combine like terms: -42 + 42 = 0
0 + -18a = 12 + 42
-18a = 12 + 42

Combine like terms: 12 + 42 = 54
-18a = 54

Divide each side by '-18'.
a = -3

Simplifying
a = -3