-71=-4(b+8)-5(1+6b)

Solution for -71=-4(b+8)-5(1+6b) equation:

Simplifying
-71 = -4(b + 8) + -5(1 + 6b)

Reorder the terms:
-71 = -4(8 + b) + -5(1 + 6b)
-71 = (8 * -4 + b * -4) + -5(1 + 6b)
-71 = (-32 + -4b) + -5(1 + 6b)
-71 = -32 + -4b + (1 * -5 + 6b * -5)
-71 = -32 + -4b + (-5 + -30b)

Reorder the terms:
-71 = -32 + -5 + -4b + -30b

Combine like terms: -32 + -5 = -37
-71 = -37 + -4b + -30b

Combine like terms: -4b + -30b = -34b
-71 = -37 + -34b

Solving
-71 = -37 + -34b

Solving for variable 'b'.

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

Add '34b' to each side of the equation.
-71 + 34b = -37 + -34b + 34b

Combine like terms: -34b + 34b = 0
-71 + 34b = -37 + 0
-71 + 34b = -37

Add '71' to each side of the equation.
-71 + 71 + 34b = -37 + 71

Combine like terms: -71 + 71 = 0
0 + 34b = -37 + 71
34b = -37 + 71

Combine like terms: -37 + 71 = 34
34b = 34

Divide each side by '34'.
b = 1

Simplifying
b = 1