8-1(3+1b)=5(-3a+1)

Solution for 8-1(3+1b)=5(-3a+1) equation:

Simplifying
8 + -1(3 + 1b) = 5(-3a + 1)
8 + (3 * -1 + 1b * -1) = 5(-3a + 1)
8 + (-3 + -1b) = 5(-3a + 1)

Combine like terms: 8 + -3 = 5
5 + -1b = 5(-3a + 1)

Reorder the terms:
5 + -1b = 5(1 + -3a)
5 + -1b = (1 * 5 + -3a * 5)
5 + -1b = (5 + -15a)

Add '-5' to each side of the equation.
5 + -5 + -1b = 5 + -5 + -15a

Combine like terms: 5 + -5 = 0
0 + -1b = 5 + -5 + -15a
-1b = 5 + -5 + -15a

Combine like terms: 5 + -5 = 0
-1b = 0 + -15a
-1b = -15a

Solving
-1b = -15a

Solving for variable 'b'.

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

Divide each side by '-1'.
b = 15a

Simplifying
b = 15a