6a+2(7a+3)=-28+3a

Solution for 6a+2(7a+3)=-28+3a equation:

Simplifying
6a + 2(7a + 3) = -28 + 3a

Reorder the terms:
6a + 2(3 + 7a) = -28 + 3a
6a + (3 * 2 + 7a * 2) = -28 + 3a
6a + (6 + 14a) = -28 + 3a

Reorder the terms:
6 + 6a + 14a = -28 + 3a

Combine like terms: 6a + 14a = 20a
6 + 20a = -28 + 3a

Solving
6 + 20a = -28 + 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.
6 + 20a + -3a = -28 + 3a + -3a

Combine like terms: 20a + -3a = 17a
6 + 17a = -28 + 3a + -3a

Combine like terms: 3a + -3a = 0
6 + 17a = -28 + 0
6 + 17a = -28

Add '-6' to each side of the equation.
6 + -6 + 17a = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 17a = -28 + -6
17a = -28 + -6

Combine like terms: -28 + -6 = -34
17a = -34

Divide each side by '17'.
a = -2

Simplifying
a = -2