-6(a+6)-7(1-4a)=45

Solution for -6(a+6)-7(1-4a)=45 equation:

Simplifying
-6(a + 6) + -7(1 + -4a) = 45

Reorder the terms:
-6(6 + a) + -7(1 + -4a) = 45
(6 * -6 + a * -6) + -7(1 + -4a) = 45
(-36 + -6a) + -7(1 + -4a) = 45
-36 + -6a + (1 * -7 + -4a * -7) = 45
-36 + -6a + (-7 + 28a) = 45

Reorder the terms:
-36 + -7 + -6a + 28a = 45

Combine like terms: -36 + -7 = -43
-43 + -6a + 28a = 45

Combine like terms: -6a + 28a = 22a
-43 + 22a = 45

Solving
-43 + 22a = 45

Solving for variable 'a'.

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

Add '43' to each side of the equation.
-43 + 43 + 22a = 45 + 43

Combine like terms: -43 + 43 = 0
0 + 22a = 45 + 43
22a = 45 + 43

Combine like terms: 45 + 43 = 88
22a = 88

Divide each side by '22'.
a = 4

Simplifying
a = 4