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

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

Simplifying
7(6 + -2a) = (-3a + 1)
(6 * 7 + -2a * 7) = (-3a + 1)
(42 + -14a) = (-3a + 1)

Reorder the terms:
42 + -14a = (1 + -3a)

Remove parenthesis around (1 + -3a)
42 + -14a = 1 + -3a

Solving
42 + -14a = 1 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
42 + -14a + 3a = 1 + -3a + 3a

Combine like terms: -14a + 3a = -11a
42 + -11a = 1 + -3a + 3a

Combine like terms: -3a + 3a = 0
42 + -11a = 1 + 0
42 + -11a = 1

Add '-42' to each side of the equation.
42 + -42 + -11a = 1 + -42

Combine like terms: 42 + -42 = 0
0 + -11a = 1 + -42
-11a = 1 + -42

Combine like terms: 1 + -42 = -41
-11a = -41

Divide each side by '-11'.
a = 3.727272727

Simplifying
a = 3.727272727