9(b-3)=6(b+3)+4

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Solution for 9(b-3)=6(b+3)+4 equation:


Simplifying
9(b + -3) = 6(b + 3) + 4

Reorder the terms:
9(-3 + b) = 6(b + 3) + 4
(-3 * 9 + b * 9) = 6(b + 3) + 4
(-27 + 9b) = 6(b + 3) + 4

Reorder the terms:
-27 + 9b = 6(3 + b) + 4
-27 + 9b = (3 * 6 + b * 6) + 4
-27 + 9b = (18 + 6b) + 4

Reorder the terms:
-27 + 9b = 18 + 4 + 6b

Combine like terms: 18 + 4 = 22
-27 + 9b = 22 + 6b

Solving
-27 + 9b = 22 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-27 + 9b + -6b = 22 + 6b + -6b

Combine like terms: 9b + -6b = 3b
-27 + 3b = 22 + 6b + -6b

Combine like terms: 6b + -6b = 0
-27 + 3b = 22 + 0
-27 + 3b = 22

Add '27' to each side of the equation.
-27 + 27 + 3b = 22 + 27

Combine like terms: -27 + 27 = 0
0 + 3b = 22 + 27
3b = 22 + 27

Combine like terms: 22 + 27 = 49
3b = 49

Divide each side by '3'.
b = 16.33333333

Simplifying
b = 16.33333333

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