85=6(5+b)+7

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Solution for 85=6(5+b)+7 equation: 


Simplifying
85 = 6(5 + b) + 7
85 = (5 * 6 + b * 6) + 7
85 = (30 + 6b) + 7

Reorder the terms:
85 = 30 + 7 + 6b

Combine like terms: 30 + 7 = 37
85 = 37 + 6b

Solving
85 = 37 + 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.
85 + -6b = 37 + 6b + -6b

Combine like terms: 6b + -6b = 0
85 + -6b = 37 + 0
85 + -6b = 37

Add '-85' to each side of the equation.
85 + -85 + -6b = 37 + -85

Combine like terms: 85 + -85 = 0
0 + -6b = 37 + -85
-6b = 37 + -85

Combine like terms: 37 + -85 = -48
-6b = -48

Divide each side by '-6'.
b = 8

Simplifying
b = 8

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