2b=3(b+4)

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Solution for 2b=3(b+4) equation: 


Simplifying
2b = 3(b + 4)

Reorder the terms:
2b = 3(4 + b)
2b = (4 * 3 + b * 3)
2b = (12 + 3b)

Solving
2b = 12 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
2b + -3b = 12 + 3b + -3b

Combine like terms: 2b + -3b = -1b
-1b = 12 + 3b + -3b

Combine like terms: 3b + -3b = 0
-1b = 12 + 0
-1b = 12

Divide each side by '-1'.
b = -12

Simplifying
b = -12

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