35+6b=8(4b+1)+1

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Solution for 35+6b=8(4b+1)+1 equation: 


Simplifying
35 + 6b = 8(4b + 1) + 1

Reorder the terms:
35 + 6b = 8(1 + 4b) + 1
35 + 6b = (1 * 8 + 4b * 8) + 1
35 + 6b = (8 + 32b) + 1

Reorder the terms:
35 + 6b = 8 + 1 + 32b

Combine like terms: 8 + 1 = 9
35 + 6b = 9 + 32b

Solving
35 + 6b = 9 + 32b

Solving for variable 'b'.

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

Add '-32b' to each side of the equation.
35 + 6b + -32b = 9 + 32b + -32b

Combine like terms: 6b + -32b = -26b
35 + -26b = 9 + 32b + -32b

Combine like terms: 32b + -32b = 0
35 + -26b = 9 + 0
35 + -26b = 9

Add '-35' to each side of the equation.
35 + -35 + -26b = 9 + -35

Combine like terms: 35 + -35 = 0
0 + -26b = 9 + -35
-26b = 9 + -35

Combine like terms: 9 + -35 = -26
-26b = -26

Divide each side by '-26'.
b = 1

Simplifying
b = 1

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