-b+6(5b+1)=-36+8b

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Solution for -b+6(5b+1)=-36+8b equation:


Simplifying
-1b + 6(5b + 1) = -36 + 8b

Reorder the terms:
-1b + 6(1 + 5b) = -36 + 8b
-1b + (1 * 6 + 5b * 6) = -36 + 8b
-1b + (6 + 30b) = -36 + 8b

Reorder the terms:
6 + -1b + 30b = -36 + 8b

Combine like terms: -1b + 30b = 29b
6 + 29b = -36 + 8b

Solving
6 + 29b = -36 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
6 + 29b + -8b = -36 + 8b + -8b

Combine like terms: 29b + -8b = 21b
6 + 21b = -36 + 8b + -8b

Combine like terms: 8b + -8b = 0
6 + 21b = -36 + 0
6 + 21b = -36

Add '-6' to each side of the equation.
6 + -6 + 21b = -36 + -6

Combine like terms: 6 + -6 = 0
0 + 21b = -36 + -6
21b = -36 + -6

Combine like terms: -36 + -6 = -42
21b = -42

Divide each side by '21'.
b = -2

Simplifying
b = -2

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