-5b+2=-8(b-6)+6b

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Solution for -5b+2=-8(b-6)+6b equation: 


Simplifying
-5b + 2 = -8(b + -6) + 6b

Reorder the terms:
2 + -5b = -8(b + -6) + 6b

Reorder the terms:
2 + -5b = -8(-6 + b) + 6b
2 + -5b = (-6 * -8 + b * -8) + 6b
2 + -5b = (48 + -8b) + 6b

Combine like terms: -8b + 6b = -2b
2 + -5b = 48 + -2b

Solving
2 + -5b = 48 + -2b

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
2 + -5b + 2b = 48 + -2b + 2b

Combine like terms: -5b + 2b = -3b
2 + -3b = 48 + -2b + 2b

Combine like terms: -2b + 2b = 0
2 + -3b = 48 + 0
2 + -3b = 48

Add '-2' to each side of the equation.
2 + -2 + -3b = 48 + -2

Combine like terms: 2 + -2 = 0
0 + -3b = 48 + -2
-3b = 48 + -2

Combine like terms: 48 + -2 = 46
-3b = 46

Divide each side by '-3'.
b = -15.33333333

Simplifying
b = -15.33333333

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