-5(2a-1)-(-11a+6)=7

Solution for -5(2a-1)-(-11a+6)=7 equation:

Simplifying
-5(2a + -1) + -1(-11a + 6) = 7

Reorder the terms:
-5(-1 + 2a) + -1(-11a + 6) = 7
(-1 * -5 + 2a * -5) + -1(-11a + 6) = 7
(5 + -10a) + -1(-11a + 6) = 7

Reorder the terms:
5 + -10a + -1(6 + -11a) = 7
5 + -10a + (6 * -1 + -11a * -1) = 7
5 + -10a + (-6 + 11a) = 7

Reorder the terms:
5 + -6 + -10a + 11a = 7

Combine like terms: 5 + -6 = -1
-1 + -10a + 11a = 7

Combine like terms: -10a + 11a = 1a
-1 + 1a = 7

Solving
-1 + 1a = 7

Solving for variable 'a'.

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

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

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

Combine like terms: 7 + 1 = 8
1a = 8

Divide each side by '1'.
a = 8

Simplifying
a = 8