6(2a-1)-(11a+6)=7

Solution for 6(2a-1)-(11a+6)=7 equation:

Simplifying
6(2a + -1) + -1(11a + 6) = 7

Reorder the terms:
6(-1 + 2a) + -1(11a + 6) = 7
(-1 * 6 + 2a * 6) + -1(11a + 6) = 7
(-6 + 12a) + -1(11a + 6) = 7

Reorder the terms:
-6 + 12a + -1(6 + 11a) = 7
-6 + 12a + (6 * -1 + 11a * -1) = 7
-6 + 12a + (-6 + -11a) = 7

Reorder the terms:
-6 + -6 + 12a + -11a = 7

Combine like terms: -6 + -6 = -12
-12 + 12a + -11a = 7

Combine like terms: 12a + -11a = 1a
-12 + 1a = 7

Solving
-12 + 1a = 7

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 12 + 1a = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 1a = 7 + 12
1a = 7 + 12

Combine like terms: 7 + 12 = 19
1a = 19

Divide each side by '1'.
a = 19

Simplifying
a = 19