6=-6(a-6)+3(a-5)

Solution for 6=-6(a-6)+3(a-5) equation:

Simplifying
6 = -6(a + -6) + 3(a + -5)

Reorder the terms:
6 = -6(-6 + a) + 3(a + -5)
6 = (-6 * -6 + a * -6) + 3(a + -5)
6 = (36 + -6a) + 3(a + -5)

Reorder the terms:
6 = 36 + -6a + 3(-5 + a)
6 = 36 + -6a + (-5 * 3 + a * 3)
6 = 36 + -6a + (-15 + 3a)

Reorder the terms:
6 = 36 + -15 + -6a + 3a

Combine like terms: 36 + -15 = 21
6 = 21 + -6a + 3a

Combine like terms: -6a + 3a = -3a
6 = 21 + -3a

Solving
6 = 21 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
6 + 3a = 21 + -3a + 3a

Combine like terms: -3a + 3a = 0
6 + 3a = 21 + 0
6 + 3a = 21

Add '-6' to each side of the equation.
6 + -6 + 3a = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 3a = 21 + -6
3a = 21 + -6

Combine like terms: 21 + -6 = 15
3a = 15

Divide each side by '3'.
a = 5

Simplifying
a = 5