(3b+3)=4b+(-2b+6)

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


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

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

Remove parenthesis around (3 + 3b)
3 + 3b = 4b + (-2b + 6)

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

Remove parenthesis around (6 + -2b)
3 + 3b = 4b + 6 + -2b

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

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

Solving
3 + 3b = 6 + 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.
3 + 3b + -2b = 6 + 2b + -2b

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

Combine like terms: 2b + -2b = 0
3 + 1b = 6 + 0
3 + 1b = 6

Add '-3' to each side of the equation.
3 + -3 + 1b = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1b = 6 + -3
1b = 6 + -3

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

Divide each side by '1'.
b = 3

Simplifying
b = 3

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