4q-(a+6)=12-37

Solution for 4q-(a+6)=12-37 equation:

Simplifying
4q + -1(a + 6) = 12 + -37

Reorder the terms:
4q + -1(6 + a) = 12 + -37
4q + (6 * -1 + a * -1) = 12 + -37
4q + (-6 + -1a) = 12 + -37

Reorder the terms:
-6 + -1a + 4q = 12 + -37

Combine like terms: 12 + -37 = -25
-6 + -1a + 4q = -25

Solving
-6 + -1a + 4q = -25

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + -1a + 6 + 4q = -25 + 6

Reorder the terms:
-6 + 6 + -1a + 4q = -25 + 6

Combine like terms: -6 + 6 = 0
0 + -1a + 4q = -25 + 6
-1a + 4q = -25 + 6

Combine like terms: -25 + 6 = -19
-1a + 4q = -19

Add '-4q' to each side of the equation.
-1a + 4q + -4q = -19 + -4q

Combine like terms: 4q + -4q = 0
-1a + 0 = -19 + -4q
-1a = -19 + -4q

Divide each side by '-1'.
a = 19 + 4q

Simplifying
a = 19 + 4q