6=a(-3)+b

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

Simplifying
6 = a(-3) + b

Reorder the terms for easier multiplication:
6 = -3a + b

Solving
6 = -3a + b

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 = -3a + 3a + b

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

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

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

Divide each side by '3'.
a = -2 + 0.3333333333b

Simplifying
a = -2 + 0.3333333333b