6(3a+1)-3a=3(2a-14)

Solution for 6(3a+1)-3a=3(2a-14) equation:

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

Reorder the terms:
6(1 + 3a) + -3a = 3(2a + -14)
(1 * 6 + 3a * 6) + -3a = 3(2a + -14)
(6 + 18a) + -3a = 3(2a + -14)

Combine like terms: 18a + -3a = 15a
6 + 15a = 3(2a + -14)

Reorder the terms:
6 + 15a = 3(-14 + 2a)
6 + 15a = (-14 * 3 + 2a * 3)
6 + 15a = (-42 + 6a)

Solving
6 + 15a = -42 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 15a + -6a = -42 + 6a + -6a

Combine like terms: 15a + -6a = 9a
6 + 9a = -42 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + 9a = -42 + 0
6 + 9a = -42

Add '-6' to each side of the equation.
6 + -6 + 9a = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = -42 + -6
9a = -42 + -6

Combine like terms: -42 + -6 = -48
9a = -48

Divide each side by '9'.
a = -5.333333333

Simplifying
a = -5.333333333