6+5(8+6b)=5b+11

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Solution for 6+5(8+6b)=5b+11 equation: 


Simplifying
6 + 5(8 + 6b) = 5b + 11
6 + (8 * 5 + 6b * 5) = 5b + 11
6 + (40 + 30b) = 5b + 11

Combine like terms: 6 + 40 = 46
46 + 30b = 5b + 11

Reorder the terms:
46 + 30b = 11 + 5b

Solving
46 + 30b = 11 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
46 + 30b + -5b = 11 + 5b + -5b

Combine like terms: 30b + -5b = 25b
46 + 25b = 11 + 5b + -5b

Combine like terms: 5b + -5b = 0
46 + 25b = 11 + 0
46 + 25b = 11

Add '-46' to each side of the equation.
46 + -46 + 25b = 11 + -46

Combine like terms: 46 + -46 = 0
0 + 25b = 11 + -46
25b = 11 + -46

Combine like terms: 11 + -46 = -35
25b = -35

Divide each side by '25'.
b = -1.4

Simplifying
b = -1.4

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