(2a+6)-(3a+4b-9)=

Solution for (2a+6)-(3a+4b-9)= equation:

Simplifying
(2a + 6) + -1(3a + 4b + -9) = 0

Reorder the terms:
(6 + 2a) + -1(3a + 4b + -9) = 0

Remove parenthesis around (6 + 2a)
6 + 2a + -1(3a + 4b + -9) = 0

Reorder the terms:
6 + 2a + -1(-9 + 3a + 4b) = 0
6 + 2a + (-9 * -1 + 3a * -1 + 4b * -1) = 0
6 + 2a + (9 + -3a + -4b) = 0

Reorder the terms:
6 + 9 + 2a + -3a + -4b = 0

Combine like terms: 6 + 9 = 15
15 + 2a + -3a + -4b = 0

Combine like terms: 2a + -3a = -1a
15 + -1a + -4b = 0

Solving
15 + -1a + -4b = 0

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -1a + -15 + -4b = 0 + -15

Reorder the terms:
15 + -15 + -1a + -4b = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1a + -4b = 0 + -15
-1a + -4b = 0 + -15

Combine like terms: 0 + -15 = -15
-1a + -4b = -15

Add '4b' to each side of the equation.
-1a + -4b + 4b = -15 + 4b

Combine like terms: -4b + 4b = 0
-1a + 0 = -15 + 4b
-1a = -15 + 4b

Divide each side by '-1'.
a = 15 + -4b

Simplifying
a = 15 + -4b