4b=7b+6(b+6)

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Solution for 4b=7b+6(b+6) equation:


Simplifying
4b = 7b + 6(b + 6)

Reorder the terms:
4b = 7b + 6(6 + b)
4b = 7b + (6 * 6 + b * 6)
4b = 7b + (36 + 6b)

Reorder the terms:
4b = 36 + 7b + 6b

Combine like terms: 7b + 6b = 13b
4b = 36 + 13b

Solving
4b = 36 + 13b

Solving for variable 'b'.

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

Add '-13b' to each side of the equation.
4b + -13b = 36 + 13b + -13b

Combine like terms: 4b + -13b = -9b
-9b = 36 + 13b + -13b

Combine like terms: 13b + -13b = 0
-9b = 36 + 0
-9b = 36

Divide each side by '-9'.
b = -4

Simplifying
b = -4

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