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

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

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

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

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

Combine like terms: -9 + 1 = -8
-8 + 2a + -3a = -1

Combine like terms: 2a + -3a = -1a
-8 + -1a = -1

Solving
-8 + -1a = -1

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 8 + -1a = -1 + 8

Combine like terms: -8 + 8 = 0
0 + -1a = -1 + 8
-1a = -1 + 8

Combine like terms: -1 + 8 = 7
-1a = 7

Divide each side by '-1'.
a = -7

Simplifying
a = -7