6(a-1)=49(a+20)

Solution for 6(a-1)=49(a+20) equation:

Simplifying
6(a + -1) = 49(a + 20)

Reorder the terms:
6(-1 + a) = 49(a + 20)
(-1 * 6 + a * 6) = 49(a + 20)
(-6 + 6a) = 49(a + 20)

Reorder the terms:
-6 + 6a = 49(20 + a)
-6 + 6a = (20 * 49 + a * 49)
-6 + 6a = (980 + 49a)

Solving
-6 + 6a = 980 + 49a

Solving for variable 'a'.

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

Add '-49a' to each side of the equation.
-6 + 6a + -49a = 980 + 49a + -49a

Combine like terms: 6a + -49a = -43a
-6 + -43a = 980 + 49a + -49a

Combine like terms: 49a + -49a = 0
-6 + -43a = 980 + 0
-6 + -43a = 980

Add '6' to each side of the equation.
-6 + 6 + -43a = 980 + 6

Combine like terms: -6 + 6 = 0
0 + -43a = 980 + 6
-43a = 980 + 6

Combine like terms: 980 + 6 = 986
-43a = 986

Divide each side by '-43'.
a = -22.93023256

Simplifying
a = -22.93023256