9(4-b)=2(9-4b)

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Solution for 9(4-b)=2(9-4b) equation:


Simplifying
9(4 + -1b) = 2(9 + -4b)
(4 * 9 + -1b * 9) = 2(9 + -4b)
(36 + -9b) = 2(9 + -4b)
36 + -9b = (9 * 2 + -4b * 2)
36 + -9b = (18 + -8b)

Solving
36 + -9b = 18 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
36 + -9b + 8b = 18 + -8b + 8b

Combine like terms: -9b + 8b = -1b
36 + -1b = 18 + -8b + 8b

Combine like terms: -8b + 8b = 0
36 + -1b = 18 + 0
36 + -1b = 18

Add '-36' to each side of the equation.
36 + -36 + -1b = 18 + -36

Combine like terms: 36 + -36 = 0
0 + -1b = 18 + -36
-1b = 18 + -36

Combine like terms: 18 + -36 = -18
-1b = -18

Divide each side by '-1'.
b = 18

Simplifying
b = 18

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