6(a-1)=4(a+20)

Solution for 6(a-1)=4(a+20) equation:

Simplifying
6(a + -1) = 4(a + 20)

Reorder the terms:
6(-1 + a) = 4(a + 20)
(-1 * 6 + a * 6) = 4(a + 20)
(-6 + 6a) = 4(a + 20)

Reorder the terms:
-6 + 6a = 4(20 + a)
-6 + 6a = (20 * 4 + a * 4)
-6 + 6a = (80 + 4a)

Solving
-6 + 6a = 80 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-6 + 6a + -4a = 80 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-6 + 2a = 80 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + 2a = 80 + 0
-6 + 2a = 80

Add '6' to each side of the equation.
-6 + 6 + 2a = 80 + 6

Combine like terms: -6 + 6 = 0
0 + 2a = 80 + 6
2a = 80 + 6

Combine like terms: 80 + 6 = 86
2a = 86

Divide each side by '2'.
a = 43

Simplifying
a = 43