4a-5(1-3a)=71

Solution for 4a-5(1-3a)=71 equation:

Simplifying
4a + -5(1 + -3a) = 71
4a + (1 * -5 + -3a * -5) = 71
4a + (-5 + 15a) = 71

Reorder the terms:
-5 + 4a + 15a = 71

Combine like terms: 4a + 15a = 19a
-5 + 19a = 71

Solving
-5 + 19a = 71

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 19a = 71 + 5

Combine like terms: -5 + 5 = 0
0 + 19a = 71 + 5
19a = 71 + 5

Combine like terms: 71 + 5 = 76
19a = 76

Divide each side by '19'.
a = 4

Simplifying
a = 4