3(1-4a)-2(7a+1)=27

Solution for 3(1-4a)-2(7a+1)=27 equation:

Simplifying
3(1 + -4a) + -2(7a + 1) = 27
(1 * 3 + -4a * 3) + -2(7a + 1) = 27
(3 + -12a) + -2(7a + 1) = 27

Reorder the terms:
3 + -12a + -2(1 + 7a) = 27
3 + -12a + (1 * -2 + 7a * -2) = 27
3 + -12a + (-2 + -14a) = 27

Reorder the terms:
3 + -2 + -12a + -14a = 27

Combine like terms: 3 + -2 = 1
1 + -12a + -14a = 27

Combine like terms: -12a + -14a = -26a
1 + -26a = 27

Solving
1 + -26a = 27

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + -26a = 27 + -1

Combine like terms: 1 + -1 = 0
0 + -26a = 27 + -1
-26a = 27 + -1

Combine like terms: 27 + -1 = 26
-26a = 26

Divide each side by '-26'.
a = -1

Simplifying
a = -1