109=-2(8a-2)+a

Solution for 109=-2(8a-2)+a equation:

Simplifying
109 = -2(8a + -2) + a

Reorder the terms:
109 = -2(-2 + 8a) + a
109 = (-2 * -2 + 8a * -2) + a
109 = (4 + -16a) + a

Combine like terms: -16a + a = -15a
109 = 4 + -15a

Solving
109 = 4 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
109 + 15a = 4 + -15a + 15a

Combine like terms: -15a + 15a = 0
109 + 15a = 4 + 0
109 + 15a = 4

Add '-109' to each side of the equation.
109 + -109 + 15a = 4 + -109

Combine like terms: 109 + -109 = 0
0 + 15a = 4 + -109
15a = 4 + -109

Combine like terms: 4 + -109 = -105
15a = -105

Divide each side by '15'.
a = -7

Simplifying
a = -7