-3(7a-6)+2(3a-8)=-43

Solution for -3(7a-6)+2(3a-8)=-43 equation:

Simplifying
-3(7a + -6) + 2(3a + -8) = -43

Reorder the terms:
-3(-6 + 7a) + 2(3a + -8) = -43
(-6 * -3 + 7a * -3) + 2(3a + -8) = -43
(18 + -21a) + 2(3a + -8) = -43

Reorder the terms:
18 + -21a + 2(-8 + 3a) = -43
18 + -21a + (-8 * 2 + 3a * 2) = -43
18 + -21a + (-16 + 6a) = -43

Reorder the terms:
18 + -16 + -21a + 6a = -43

Combine like terms: 18 + -16 = 2
2 + -21a + 6a = -43

Combine like terms: -21a + 6a = -15a
2 + -15a = -43

Solving
2 + -15a = -43

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + -15a = -43 + -2

Combine like terms: 2 + -2 = 0
0 + -15a = -43 + -2
-15a = -43 + -2

Combine like terms: -43 + -2 = -45
-15a = -45

Divide each side by '-15'.
a = 3

Simplifying
a = 3