-6=3(b-8)+8(2b+7)

Solution for -6=3(b-8)+8(2b+7) equation:

Simplifying
-6 = 3(b + -8) + 8(2b + 7)

Reorder the terms:
-6 = 3(-8 + b) + 8(2b + 7)
-6 = (-8 * 3 + b * 3) + 8(2b + 7)
-6 = (-24 + 3b) + 8(2b + 7)

Reorder the terms:
-6 = -24 + 3b + 8(7 + 2b)
-6 = -24 + 3b + (7 * 8 + 2b * 8)
-6 = -24 + 3b + (56 + 16b)

Reorder the terms:
-6 = -24 + 56 + 3b + 16b

Combine like terms: -24 + 56 = 32
-6 = 32 + 3b + 16b

Combine like terms: 3b + 16b = 19b
-6 = 32 + 19b

Solving
-6 = 32 + 19b

Solving for variable 'b'.

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

Add '-19b' to each side of the equation.
-6 + -19b = 32 + 19b + -19b

Combine like terms: 19b + -19b = 0
-6 + -19b = 32 + 0
-6 + -19b = 32

Add '6' to each side of the equation.
-6 + 6 + -19b = 32 + 6

Combine like terms: -6 + 6 = 0
0 + -19b = 32 + 6
-19b = 32 + 6

Combine like terms: 32 + 6 = 38
-19b = 38

Divide each side by '-19'.
b = -2

Simplifying
b = -2