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

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


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

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

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

Solving
24 + -5b = 48 + -8b + 6btu

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 = 48 + -8b + 8b + 6btu

Combine like terms: -5b + 8b = 3b
24 + 3b = 48 + -8b + 8b + 6btu

Combine like terms: -8b + 8b = 0
24 + 3b = 48 + 0 + 6btu
24 + 3b = 48 + 6btu

Add '-6btu' to each side of the equation.
24 + 3b + -6btu = 48 + 6btu + -6btu

Combine like terms: 6btu + -6btu = 0
24 + 3b + -6btu = 48 + 0
24 + 3b + -6btu = 48

Add '-24' to each side of the equation.
24 + 3b + -24 + -6btu = 48 + -24

Reorder the terms:
24 + -24 + 3b + -6btu = 48 + -24

Combine like terms: 24 + -24 = 0
0 + 3b + -6btu = 48 + -24
3b + -6btu = 48 + -24

Combine like terms: 48 + -24 = 24
3b + -6btu = 24

Reorder the terms:
-24 + 3b + -6btu = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 3b + -6btu = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + b + -2btu) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-8 + b + -2btu)' equal to zero and attempt to solve: Simplifying -8 + b + -2btu = 0 Solving -8 + b + -2btu = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + b + 8 + -2btu = 0 + 8 Reorder the terms: -8 + 8 + b + -2btu = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b + -2btu = 0 + 8 b + -2btu = 0 + 8 Combine like terms: 0 + 8 = 8 b + -2btu = 8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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