3(2-5a)=-4a-71

Solution for 3(2-5a)=-4a-71 equation:

Simplifying
3(2 + -5a) = -4a + -71
(2 * 3 + -5a * 3) = -4a + -71
(6 + -15a) = -4a + -71

Reorder the terms:
6 + -15a = -71 + -4a

Solving
6 + -15a = -71 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + -15a + 4a = -71 + -4a + 4a

Combine like terms: -15a + 4a = -11a
6 + -11a = -71 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + -11a = -71 + 0
6 + -11a = -71

Add '-6' to each side of the equation.
6 + -6 + -11a = -71 + -6

Combine like terms: 6 + -6 = 0
0 + -11a = -71 + -6
-11a = -71 + -6

Combine like terms: -71 + -6 = -77
-11a = -77

Divide each side by '-11'.
a = 7

Simplifying
a = 7