6b+2-b=6(b-5)+2

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Solution for 6b+2-b=6(b-5)+2 equation: 


Simplifying
6b + 2 + -1b = 6(b + -5) + 2

Reorder the terms:
2 + 6b + -1b = 6(b + -5) + 2

Combine like terms: 6b + -1b = 5b
2 + 5b = 6(b + -5) + 2

Reorder the terms:
2 + 5b = 6(-5 + b) + 2
2 + 5b = (-5 * 6 + b * 6) + 2
2 + 5b = (-30 + 6b) + 2

Reorder the terms:
2 + 5b = -30 + 2 + 6b

Combine like terms: -30 + 2 = -28
2 + 5b = -28 + 6b

Solving
2 + 5b = -28 + 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.
2 + 5b + -6b = -28 + 6b + -6b

Combine like terms: 5b + -6b = -1b
2 + -1b = -28 + 6b + -6b

Combine like terms: 6b + -6b = 0
2 + -1b = -28 + 0
2 + -1b = -28

Add '-2' to each side of the equation.
2 + -2 + -1b = -28 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = -28 + -2
-1b = -28 + -2

Combine like terms: -28 + -2 = -30
-1b = -30

Divide each side by '-1'.
b = 30

Simplifying
b = 30

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