-2a+3(-4a-2)=1

Solution for -2a+3(-4a-2)=1 equation:

Simplifying
-2a + 3(-4a + -2) = 1

Reorder the terms:
-2a + 3(-2 + -4a) = 1
-2a + (-2 * 3 + -4a * 3) = 1
-2a + (-6 + -12a) = 1

Reorder the terms:
-6 + -2a + -12a = 1

Combine like terms: -2a + -12a = -14a
-6 + -14a = 1

Solving
-6 + -14a = 1

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 + 6 + -14a = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -14a = 1 + 6
-14a = 1 + 6

Combine like terms: 1 + 6 = 7
-14a = 7

Divide each side by '-14'.
a = -0.5

Simplifying
a = -0.5