6b+5-b=6(b-9)+7

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Solution for 6b+5-b=6(b-9)+7 equation:


Simplifying
6b + 5 + -1b = 6(b + -9) + 7

Reorder the terms:
5 + 6b + -1b = 6(b + -9) + 7

Combine like terms: 6b + -1b = 5b
5 + 5b = 6(b + -9) + 7

Reorder the terms:
5 + 5b = 6(-9 + b) + 7
5 + 5b = (-9 * 6 + b * 6) + 7
5 + 5b = (-54 + 6b) + 7

Reorder the terms:
5 + 5b = -54 + 7 + 6b

Combine like terms: -54 + 7 = -47
5 + 5b = -47 + 6b

Solving
5 + 5b = -47 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
5 + 5b + -6b = -47 + 6b + -6b

Combine like terms: 5b + -6b = -1b
5 + -1b = -47 + 6b + -6b

Combine like terms: 6b + -6b = 0
5 + -1b = -47 + 0
5 + -1b = -47

Add '-5' to each side of the equation.
5 + -5 + -1b = -47 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = -47 + -5
-1b = -47 + -5

Combine like terms: -47 + -5 = -52
-1b = -52

Divide each side by '-1'.
b = 52

Simplifying
b = 52

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