5b+11=8b-16

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Solution for 5b+11=8b-16 equation:


Simplifying
5b + 11 = 8b + -16

Reorder the terms:
11 + 5b = 8b + -16

Reorder the terms:
11 + 5b = -16 + 8b

Solving
11 + 5b = -16 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
11 + 5b + -8b = -16 + 8b + -8b

Combine like terms: 5b + -8b = -3b
11 + -3b = -16 + 8b + -8b

Combine like terms: 8b + -8b = 0
11 + -3b = -16 + 0
11 + -3b = -16

Add '-11' to each side of the equation.
11 + -11 + -3b = -16 + -11

Combine like terms: 11 + -11 = 0
0 + -3b = -16 + -11
-3b = -16 + -11

Combine like terms: -16 + -11 = -27
-3b = -27

Divide each side by '-3'.
b = 9

Simplifying
b = 9

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