-8(6b+1)=33-7b

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Solution for -8(6b+1)=33-7b equation: 


Simplifying
-8(6b + 1) = 33 + -7b

Reorder the terms:
-8(1 + 6b) = 33 + -7b
(1 * -8 + 6b * -8) = 33 + -7b
(-8 + -48b) = 33 + -7b

Solving
-8 + -48b = 33 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
-8 + -48b + 7b = 33 + -7b + 7b

Combine like terms: -48b + 7b = -41b
-8 + -41b = 33 + -7b + 7b

Combine like terms: -7b + 7b = 0
-8 + -41b = 33 + 0
-8 + -41b = 33

Add '8' to each side of the equation.
-8 + 8 + -41b = 33 + 8

Combine like terms: -8 + 8 = 0
0 + -41b = 33 + 8
-41b = 33 + 8

Combine like terms: 33 + 8 = 41
-41b = 41

Divide each side by '-41'.
b = -1

Simplifying
b = -1

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