4(2-b)+3(3+2b)=33

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Solution for 4(2-b)+3(3+2b)=33 equation: 


Simplifying
4(2 + -1b) + 3(3 + 2b) = 33
(2 * 4 + -1b * 4) + 3(3 + 2b) = 33
(8 + -4b) + 3(3 + 2b) = 33
8 + -4b + (3 * 3 + 2b * 3) = 33
8 + -4b + (9 + 6b) = 33

Reorder the terms:
8 + 9 + -4b + 6b = 33

Combine like terms: 8 + 9 = 17
17 + -4b + 6b = 33

Combine like terms: -4b + 6b = 2b
17 + 2b = 33

Solving
17 + 2b = 33

Solving for variable 'b'.

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

Add '-17' to each side of the equation.
17 + -17 + 2b = 33 + -17

Combine like terms: 17 + -17 = 0
0 + 2b = 33 + -17
2b = 33 + -17

Combine like terms: 33 + -17 = 16
2b = 16

Divide each side by '2'.
b = 8

Simplifying
b = 8

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