6b-9=7(b-8)

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Solution for 6b-9=7(b-8) equation:


Simplifying
6b + -9 = 7(b + -8)

Reorder the terms:
-9 + 6b = 7(b + -8)

Reorder the terms:
-9 + 6b = 7(-8 + b)
-9 + 6b = (-8 * 7 + b * 7)
-9 + 6b = (-56 + 7b)

Solving
-9 + 6b = -56 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
-9 + 6b + -7b = -56 + 7b + -7b

Combine like terms: 6b + -7b = -1b
-9 + -1b = -56 + 7b + -7b

Combine like terms: 7b + -7b = 0
-9 + -1b = -56 + 0
-9 + -1b = -56

Add '9' to each side of the equation.
-9 + 9 + -1b = -56 + 9

Combine like terms: -9 + 9 = 0
0 + -1b = -56 + 9
-1b = -56 + 9

Combine like terms: -56 + 9 = -47
-1b = -47

Divide each side by '-1'.
b = 47

Simplifying
b = 47

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