9(b-4)-7b=5(b-2)

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Solution for 9(b-4)-7b=5(b-2) equation:


Simplifying
9(b + -4) + -7b = 5(b + -2)

Reorder the terms:
9(-4 + b) + -7b = 5(b + -2)
(-4 * 9 + b * 9) + -7b = 5(b + -2)
(-36 + 9b) + -7b = 5(b + -2)

Combine like terms: 9b + -7b = 2b
-36 + 2b = 5(b + -2)

Reorder the terms:
-36 + 2b = 5(-2 + b)
-36 + 2b = (-2 * 5 + b * 5)
-36 + 2b = (-10 + 5b)

Solving
-36 + 2b = -10 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-36 + 2b + -5b = -10 + 5b + -5b

Combine like terms: 2b + -5b = -3b
-36 + -3b = -10 + 5b + -5b

Combine like terms: 5b + -5b = 0
-36 + -3b = -10 + 0
-36 + -3b = -10

Add '36' to each side of the equation.
-36 + 36 + -3b = -10 + 36

Combine like terms: -36 + 36 = 0
0 + -3b = -10 + 36
-3b = -10 + 36

Combine like terms: -10 + 36 = 26
-3b = 26

Divide each side by '-3'.
b = -8.666666667

Simplifying
b = -8.666666667

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