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

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

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

Reorder the terms:
42 + -14a = 3(1 + -3a)
42 + -14a = (1 * 3 + -3a * 3)
42 + -14a = (3 + -9a)

Solving
42 + -14a = 3 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
42 + -14a + 9a = 3 + -9a + 9a

Combine like terms: -14a + 9a = -5a
42 + -5a = 3 + -9a + 9a

Combine like terms: -9a + 9a = 0
42 + -5a = 3 + 0
42 + -5a = 3

Add '-42' to each side of the equation.
42 + -42 + -5a = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -5a = 3 + -42
-5a = 3 + -42

Combine like terms: 3 + -42 = -39
-5a = -39

Divide each side by '-5'.
a = 7.8

Simplifying
a = 7.8