-5b+24=-8(b-6)+6b

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Solution for -5b+24=-8(b-6)+6b equation: 


Simplifying
-5b + 24 = -8(b + -6) + 6b

Reorder the terms:
24 + -5b = -8(b + -6) + 6b

Reorder the terms:
24 + -5b = -8(-6 + b) + 6b
24 + -5b = (-6 * -8 + b * -8) + 6b
24 + -5b = (48 + -8b) + 6b

Combine like terms: -8b + 6b = -2b
24 + -5b = 48 + -2b

Solving
24 + -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.
24 + -5b + 2b = 48 + -2b + 2b

Combine like terms: -5b + 2b = -3b
24 + -3b = 48 + -2b + 2b

Combine like terms: -2b + 2b = 0
24 + -3b = 48 + 0
24 + -3b = 48

Add '-24' to each side of the equation.
24 + -24 + -3b = 48 + -24

Combine like terms: 24 + -24 = 0
0 + -3b = 48 + -24
-3b = 48 + -24

Combine like terms: 48 + -24 = 24
-3b = 24

Divide each side by '-3'.
b = -8

Simplifying
b = -8

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