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

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

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

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

Reorder the terms:
6 + 4[15 + a + -3a] = 0

Combine like terms: a + -3a = -2a
6 + 4[15 + -2a] = 0
6 + [15 * 4 + -2a * 4] = 0
6 + [60 + -8a] = 0

Combine like terms: 6 + 60 = 66
66 + -8a = 0

Solving
66 + -8a = 0

Solving for variable 'a'.

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

Add '-66' to each side of the equation.
66 + -66 + -8a = 0 + -66

Combine like terms: 66 + -66 = 0
0 + -8a = 0 + -66
-8a = 0 + -66

Combine like terms: 0 + -66 = -66
-8a = -66

Divide each side by '-8'.
a = 8.25

Simplifying
a = 8.25