3b+24=11b-22

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Solution for 3b+24=11b-22 equation:


Simplifying
3b + 24 = 11b + -22

Reorder the terms:
24 + 3b = 11b + -22

Reorder the terms:
24 + 3b = -22 + 11b

Solving
24 + 3b = -22 + 11b

Solving for variable 'b'.

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

Add '-11b' to each side of the equation.
24 + 3b + -11b = -22 + 11b + -11b

Combine like terms: 3b + -11b = -8b
24 + -8b = -22 + 11b + -11b

Combine like terms: 11b + -11b = 0
24 + -8b = -22 + 0
24 + -8b = -22

Add '-24' to each side of the equation.
24 + -24 + -8b = -22 + -24

Combine like terms: 24 + -24 = 0
0 + -8b = -22 + -24
-8b = -22 + -24

Combine like terms: -22 + -24 = -46
-8b = -46

Divide each side by '-8'.
b = 5.75

Simplifying
b = 5.75

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