Solve for B
B=2\left(\beta -2\right)
Solve for β
\beta =\frac{B+4}{2}
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4\beta +16=2B+24
Multiply both sides of the equation by 4.
2B+24=4\beta +16
Swap sides so that all variable terms are on the left hand side.
2B=4\beta +16-24
Subtract 24 from both sides.
2B=4\beta -8
Subtract 24 from 16 to get -8.
\frac{2B}{2}=\frac{4\beta -8}{2}
Divide both sides by 2.
B=\frac{4\beta -8}{2}
Dividing by 2 undoes the multiplication by 2.
B=2\beta -4
Divide -8+4\beta by 2.
4\beta +16=2B+24
Multiply both sides of the equation by 4.
4\beta =2B+24-16
Subtract 16 from both sides.
4\beta =2B+8
Subtract 16 from 24 to get 8.
\frac{4\beta }{4}=\frac{2B+8}{4}
Divide both sides by 4.
\beta =\frac{2B+8}{4}
Dividing by 4 undoes the multiplication by 4.
\beta =\frac{B}{2}+2
Divide 8+2B by 4.
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