3(a+2b-2)-2(2a-5b-1)=

Solution for 3(a+2b-2)-2(2a-5b-1)= equation:

Simplifying
3(a + 2b + -2) + -2(2a + -5b + -1) = 0

Reorder the terms:
3(-2 + a + 2b) + -2(2a + -5b + -1) = 0
(-2 * 3 + a * 3 + 2b * 3) + -2(2a + -5b + -1) = 0
(-6 + 3a + 6b) + -2(2a + -5b + -1) = 0

Reorder the terms:
-6 + 3a + 6b + -2(-1 + 2a + -5b) = 0
-6 + 3a + 6b + (-1 * -2 + 2a * -2 + -5b * -2) = 0
-6 + 3a + 6b + (2 + -4a + 10b) = 0

Reorder the terms:
-6 + 2 + 3a + -4a + 6b + 10b = 0

Combine like terms: -6 + 2 = -4
-4 + 3a + -4a + 6b + 10b = 0

Combine like terms: 3a + -4a = -1a
-4 + -1a + 6b + 10b = 0

Combine like terms: 6b + 10b = 16b
-4 + -1a + 16b = 0

Solving
-4 + -1a + 16b = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + -1a + 4 + 16b = 0 + 4

Reorder the terms:
-4 + 4 + -1a + 16b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a + 16b = 0 + 4
-1a + 16b = 0 + 4

Combine like terms: 0 + 4 = 4
-1a + 16b = 4

Add '-16b' to each side of the equation.
-1a + 16b + -16b = 4 + -16b

Combine like terms: 16b + -16b = 0
-1a + 0 = 4 + -16b
-1a = 4 + -16b

Divide each side by '-1'.
a = -4 + 16b

Simplifying
a = -4 + 16b