1+a+10a-2=-3(2-3a)-9(a-3)

Solution for 1+a+10a-2=-3(2-3a)-9(a-3) equation:

Simplifying
1 + a + 10a + -2 = -3(2 + -3a) + -9(a + -3)

Reorder the terms:
1 + -2 + a + 10a = -3(2 + -3a) + -9(a + -3)

Combine like terms: 1 + -2 = -1
-1 + a + 10a = -3(2 + -3a) + -9(a + -3)

Combine like terms: a + 10a = 11a
-1 + 11a = -3(2 + -3a) + -9(a + -3)
-1 + 11a = (2 * -3 + -3a * -3) + -9(a + -3)
-1 + 11a = (-6 + 9a) + -9(a + -3)

Reorder the terms:
-1 + 11a = -6 + 9a + -9(-3 + a)
-1 + 11a = -6 + 9a + (-3 * -9 + a * -9)
-1 + 11a = -6 + 9a + (27 + -9a)

Reorder the terms:
-1 + 11a = -6 + 27 + 9a + -9a

Combine like terms: -6 + 27 = 21
-1 + 11a = 21 + 9a + -9a

Combine like terms: 9a + -9a = 0
-1 + 11a = 21 + 0
-1 + 11a = 21

Solving
-1 + 11a = 21

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 11a = 21 + 1

Combine like terms: -1 + 1 = 0
0 + 11a = 21 + 1
11a = 21 + 1

Combine like terms: 21 + 1 = 22
11a = 22

Divide each side by '11'.
a = 2

Simplifying
a = 2