4a-6(a-1)=-9+a

Solution for 4a-6(a-1)=-9+a equation:

Simplifying
4a + -6(a + -1) = -9 + a

Reorder the terms:
4a + -6(-1 + a) = -9 + a
4a + (-1 * -6 + a * -6) = -9 + a
4a + (6 + -6a) = -9 + a

Reorder the terms:
6 + 4a + -6a = -9 + a

Combine like terms: 4a + -6a = -2a
6 + -2a = -9 + a

Solving
6 + -2a = -9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + -2a + -1a = -9 + a + -1a

Combine like terms: -2a + -1a = -3a
6 + -3a = -9 + a + -1a

Combine like terms: a + -1a = 0
6 + -3a = -9 + 0
6 + -3a = -9

Add '-6' to each side of the equation.
6 + -6 + -3a = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3a = -9 + -6
-3a = -9 + -6

Combine like terms: -9 + -6 = -15
-3a = -15

Divide each side by '-3'.
a = 5

Simplifying
a = 5