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

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


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

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

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

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

Combine like terms: 48 + 6 = 54
24 + -5b = 54 + -8b

Solving
24 + -5b = 54 + -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.
24 + -5b + 8b = 54 + -8b + 8b

Combine like terms: -5b + 8b = 3b
24 + 3b = 54 + -8b + 8b

Combine like terms: -8b + 8b = 0
24 + 3b = 54 + 0
24 + 3b = 54

Add '-24' to each side of the equation.
24 + -24 + 3b = 54 + -24

Combine like terms: 24 + -24 = 0
0 + 3b = 54 + -24
3b = 54 + -24

Combine like terms: 54 + -24 = 30
3b = 30

Divide each side by '3'.
b = 10

Simplifying
b = 10

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