6-4(5a+7)-(2a-6)+13a=

Solution for 6-4(5a+7)-(2a-6)+13a= equation:

Simplifying
6 + -4(5a + 7) + -1(2a + -6) + 13a = 0

Reorder the terms:
6 + -4(7 + 5a) + -1(2a + -6) + 13a = 0
6 + (7 * -4 + 5a * -4) + -1(2a + -6) + 13a = 0
6 + (-28 + -20a) + -1(2a + -6) + 13a = 0

Reorder the terms:
6 + -28 + -20a + -1(-6 + 2a) + 13a = 0
6 + -28 + -20a + (-6 * -1 + 2a * -1) + 13a = 0
6 + -28 + -20a + (6 + -2a) + 13a = 0

Reorder the terms:
6 + -28 + 6 + -20a + -2a + 13a = 0

Combine like terms: 6 + -28 = -22
-22 + 6 + -20a + -2a + 13a = 0

Combine like terms: -22 + 6 = -16
-16 + -20a + -2a + 13a = 0

Combine like terms: -20a + -2a = -22a
-16 + -22a + 13a = 0

Combine like terms: -22a + 13a = -9a
-16 + -9a = 0

Solving
-16 + -9a = 0

Solving for variable 'a'.

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

Add '16' to each side of the equation.
-16 + 16 + -9a = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -9a = 0 + 16
-9a = 0 + 16

Combine like terms: 0 + 16 = 16
-9a = 16

Divide each side by '-9'.
a = -1.777777778

Simplifying
a = -1.777777778