4(3b-6)=9(2b+8)

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Solution for 4(3b-6)=9(2b+8) equation:


Simplifying
4(3b + -6) = 9(2b + 8)

Reorder the terms:
4(-6 + 3b) = 9(2b + 8)
(-6 * 4 + 3b * 4) = 9(2b + 8)
(-24 + 12b) = 9(2b + 8)

Reorder the terms:
-24 + 12b = 9(8 + 2b)
-24 + 12b = (8 * 9 + 2b * 9)
-24 + 12b = (72 + 18b)

Solving
-24 + 12b = 72 + 18b

Solving for variable 'b'.

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

Add '-18b' to each side of the equation.
-24 + 12b + -18b = 72 + 18b + -18b

Combine like terms: 12b + -18b = -6b
-24 + -6b = 72 + 18b + -18b

Combine like terms: 18b + -18b = 0
-24 + -6b = 72 + 0
-24 + -6b = 72

Add '24' to each side of the equation.
-24 + 24 + -6b = 72 + 24

Combine like terms: -24 + 24 = 0
0 + -6b = 72 + 24
-6b = 72 + 24

Combine like terms: 72 + 24 = 96
-6b = 96

Divide each side by '-6'.
b = -16

Simplifying
b = -16

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