3b+6=4b-2b

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Solution for 3b+6=4b-2b equation:


Simplifying
3b + 6 = 4b + -2b

Reorder the terms:
6 + 3b = 4b + -2b

Combine like terms: 4b + -2b = 2b
6 + 3b = 2b

Solving
6 + 3b = 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
6 + 3b + -2b = 2b + -2b

Combine like terms: 3b + -2b = 1b
6 + 1b = 2b + -2b

Combine like terms: 2b + -2b = 0
6 + 1b = 0

Add '-6' to each side of the equation.
6 + -6 + 1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1b = 0 + -6
1b = 0 + -6

Combine like terms: 0 + -6 = -6
1b = -6

Divide each side by '1'.
b = -6

Simplifying
b = -6

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