3(1+4b)=7b+33

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Solution for 3(1+4b)=7b+33 equation:


Simplifying
3(1 + 4b) = 7b + 33
(1 * 3 + 4b * 3) = 7b + 33
(3 + 12b) = 7b + 33

Reorder the terms:
3 + 12b = 33 + 7b

Solving
3 + 12b = 33 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
3 + 12b + -7b = 33 + 7b + -7b

Combine like terms: 12b + -7b = 5b
3 + 5b = 33 + 7b + -7b

Combine like terms: 7b + -7b = 0
3 + 5b = 33 + 0
3 + 5b = 33

Add '-3' to each side of the equation.
3 + -3 + 5b = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 5b = 33 + -3
5b = 33 + -3

Combine like terms: 33 + -3 = 30
5b = 30

Divide each side by '5'.
b = 6

Simplifying
b = 6

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