(9b-3)3=(5b+5)9

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Solution for (9b-3)3=(5b+5)9 equation:


Simplifying
(9b + -3) * 3 = (5b + 5) * 9

Reorder the terms:
(-3 + 9b) * 3 = (5b + 5) * 9

Reorder the terms for easier multiplication:
3(-3 + 9b) = (5b + 5) * 9
(-3 * 3 + 9b * 3) = (5b + 5) * 9
(-9 + 27b) = (5b + 5) * 9

Reorder the terms:
-9 + 27b = (5 + 5b) * 9

Reorder the terms for easier multiplication:
-9 + 27b = 9(5 + 5b)
-9 + 27b = (5 * 9 + 5b * 9)
-9 + 27b = (45 + 45b)

Solving
-9 + 27b = 45 + 45b

Solving for variable 'b'.

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

Add '-45b' to each side of the equation.
-9 + 27b + -45b = 45 + 45b + -45b

Combine like terms: 27b + -45b = -18b
-9 + -18b = 45 + 45b + -45b

Combine like terms: 45b + -45b = 0
-9 + -18b = 45 + 0
-9 + -18b = 45

Add '9' to each side of the equation.
-9 + 9 + -18b = 45 + 9

Combine like terms: -9 + 9 = 0
0 + -18b = 45 + 9
-18b = 45 + 9

Combine like terms: 45 + 9 = 54
-18b = 54

Divide each side by '-18'.
b = -3

Simplifying
b = -3

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