-6+a+3(2a-7)=1

Solution for -6+a+3(2a-7)=1 equation:

Simplifying
-6 + a + 3(2a + -7) = 1

Reorder the terms:
-6 + a + 3(-7 + 2a) = 1
-6 + a + (-7 * 3 + 2a * 3) = 1
-6 + a + (-21 + 6a) = 1

Reorder the terms:
-6 + -21 + a + 6a = 1

Combine like terms: -6 + -21 = -27
-27 + a + 6a = 1

Combine like terms: a + 6a = 7a
-27 + 7a = 1

Solving
-27 + 7a = 1

Solving for variable 'a'.

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

Add '27' to each side of the equation.
-27 + 27 + 7a = 1 + 27

Combine like terms: -27 + 27 = 0
0 + 7a = 1 + 27
7a = 1 + 27

Combine like terms: 1 + 27 = 28
7a = 28

Divide each side by '7'.
a = 4

Simplifying
a = 4