(7b+10)=(9b-8)

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Solution for (7b+10)=(9b-8) equation:


Simplifying
(7b + 10) = (9b + -8)

Reorder the terms:
(10 + 7b) = (9b + -8)

Remove parenthesis around (10 + 7b)
10 + 7b = (9b + -8)

Reorder the terms:
10 + 7b = (-8 + 9b)

Remove parenthesis around (-8 + 9b)
10 + 7b = -8 + 9b

Solving
10 + 7b = -8 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
10 + 7b + -9b = -8 + 9b + -9b

Combine like terms: 7b + -9b = -2b
10 + -2b = -8 + 9b + -9b

Combine like terms: 9b + -9b = 0
10 + -2b = -8 + 0
10 + -2b = -8

Add '-10' to each side of the equation.
10 + -10 + -2b = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -2b = -8 + -10
-2b = -8 + -10

Combine like terms: -8 + -10 = -18
-2b = -18

Divide each side by '-2'.
b = 9

Simplifying
b = 9

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