b+9=6(2b-4)

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


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

Reorder the terms:
9 + b = 6(2b + -4)

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

Solving
9 + b = -24 + 12b

Solving for variable 'b'.

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

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

Combine like terms: b + -12b = -11b
9 + -11b = -24 + 12b + -12b

Combine like terms: 12b + -12b = 0
9 + -11b = -24 + 0
9 + -11b = -24

Add '-9' to each side of the equation.
9 + -9 + -11b = -24 + -9

Combine like terms: 9 + -9 = 0
0 + -11b = -24 + -9
-11b = -24 + -9

Combine like terms: -24 + -9 = -33
-11b = -33

Divide each side by '-11'.
b = 3

Simplifying
b = 3

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