3(3-2b)-3(3b-6)=-48

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Solution for 3(3-2b)-3(3b-6)=-48 equation: 


Simplifying
3(3 + -2b) + -3(3b + -6) = -48
(3 * 3 + -2b * 3) + -3(3b + -6) = -48
(9 + -6b) + -3(3b + -6) = -48

Reorder the terms:
9 + -6b + -3(-6 + 3b) = -48
9 + -6b + (-6 * -3 + 3b * -3) = -48
9 + -6b + (18 + -9b) = -48

Reorder the terms:
9 + 18 + -6b + -9b = -48

Combine like terms: 9 + 18 = 27
27 + -6b + -9b = -48

Combine like terms: -6b + -9b = -15b
27 + -15b = -48

Solving
27 + -15b = -48

Solving for variable 'b'.

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

Add '-27' to each side of the equation.
27 + -27 + -15b = -48 + -27

Combine like terms: 27 + -27 = 0
0 + -15b = -48 + -27
-15b = -48 + -27

Combine like terms: -48 + -27 = -75
-15b = -75

Divide each side by '-15'.
b = 5

Simplifying
b = 5

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