6+2[2-5(4a-3)]=

Solution for 6+2[2-5(4a-3)]= equation:

Simplifying
6 + 2[2 + -5(4a + -3)] = 0

Reorder the terms:
6 + 2[2 + -5(-3 + 4a)] = 0
6 + 2[2 + (-3 * -5 + 4a * -5)] = 0
6 + 2[2 + (15 + -20a)] = 0

Combine like terms: 2 + 15 = 17
6 + 2[17 + -20a] = 0
6 + [17 * 2 + -20a * 2] = 0
6 + [34 + -40a] = 0

Combine like terms: 6 + 34 = 40
40 + -40a = 0

Solving
40 + -40a = 0

Solving for variable 'a'.

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

Add '-40' to each side of the equation.
40 + -40 + -40a = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -40a = 0 + -40
-40a = 0 + -40

Combine like terms: 0 + -40 = -40
-40a = -40

Divide each side by '-40'.
a = 1

Simplifying
a = 1