(7-b)=(3b+2)

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Solution for (7-b)=(3b+2) equation:


Simplifying
(7 + -1b) = (3b + 2)

Remove parenthesis around (7 + -1b)
7 + -1b = (3b + 2)

Reorder the terms:
7 + -1b = (2 + 3b)

Remove parenthesis around (2 + 3b)
7 + -1b = 2 + 3b

Solving
7 + -1b = 2 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
7 + -1b + -3b = 2 + 3b + -3b

Combine like terms: -1b + -3b = -4b
7 + -4b = 2 + 3b + -3b

Combine like terms: 3b + -3b = 0
7 + -4b = 2 + 0
7 + -4b = 2

Add '-7' to each side of the equation.
7 + -7 + -4b = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -4b = 2 + -7
-4b = 2 + -7

Combine like terms: 2 + -7 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25

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