32=7(8-4b)-2(1-3b)

Solution for 32=7(8-4b)-2(1-3b) equation:

Simplifying
32 = 7(8 + -4b) + -2(1 + -3b)
32 = (8 * 7 + -4b * 7) + -2(1 + -3b)
32 = (56 + -28b) + -2(1 + -3b)
32 = 56 + -28b + (1 * -2 + -3b * -2)
32 = 56 + -28b + (-2 + 6b)

Reorder the terms:
32 = 56 + -2 + -28b + 6b

Combine like terms: 56 + -2 = 54
32 = 54 + -28b + 6b

Combine like terms: -28b + 6b = -22b
32 = 54 + -22b

Solving
32 = 54 + -22b

Solving for variable 'b'.

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

Add '22b' to each side of the equation.
32 + 22b = 54 + -22b + 22b

Combine like terms: -22b + 22b = 0
32 + 22b = 54 + 0
32 + 22b = 54

Add '-32' to each side of the equation.
32 + -32 + 22b = 54 + -32

Combine like terms: 32 + -32 = 0
0 + 22b = 54 + -32
22b = 54 + -32

Combine like terms: 54 + -32 = 22
22b = 22

Divide each side by '22'.
b = 1

Simplifying
b = 1