11(3b-9)=3(6b-11)

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Solution for 11(3b-9)=3(6b-11) equation:


Simplifying
11(3b + -9) = 3(6b + -11)

Reorder the terms:
11(-9 + 3b) = 3(6b + -11)
(-9 * 11 + 3b * 11) = 3(6b + -11)
(-99 + 33b) = 3(6b + -11)

Reorder the terms:
-99 + 33b = 3(-11 + 6b)
-99 + 33b = (-11 * 3 + 6b * 3)
-99 + 33b = (-33 + 18b)

Solving
-99 + 33b = -33 + 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.
-99 + 33b + -18b = -33 + 18b + -18b

Combine like terms: 33b + -18b = 15b
-99 + 15b = -33 + 18b + -18b

Combine like terms: 18b + -18b = 0
-99 + 15b = -33 + 0
-99 + 15b = -33

Add '99' to each side of the equation.
-99 + 99 + 15b = -33 + 99

Combine like terms: -99 + 99 = 0
0 + 15b = -33 + 99
15b = -33 + 99

Combine like terms: -33 + 99 = 66
15b = 66

Divide each side by '15'.
b = 4.4

Simplifying
b = 4.4

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