6-3a=9-2(2a+15)

Solution for 6-3a=9-2(2a+15) equation:

Simplifying
6 + -3a = 9 + -2(2a + 15)

Reorder the terms:
6 + -3a = 9 + -2(15 + 2a)
6 + -3a = 9 + (15 * -2 + 2a * -2)
6 + -3a = 9 + (-30 + -4a)

Combine like terms: 9 + -30 = -21
6 + -3a = -21 + -4a

Solving
6 + -3a = -21 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + -3a + 4a = -21 + -4a + 4a

Combine like terms: -3a + 4a = 1a
6 + 1a = -21 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 1a = -21 + 0
6 + 1a = -21

Add '-6' to each side of the equation.
6 + -6 + 1a = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = -21 + -6
1a = -21 + -6

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

Divide each side by '1'.
a = -27

Simplifying
a = -27