# Solve for B (22B+5C)/(5B+18C)=-172.8/-115.2

22B+5C5B+18C=-172.8-115.2
Divide -172.8 by -115.2.
22B+5C5B+18C=1.5
Solve for B.
Multiply each term by 5B+18C and simplify.
Multiply each term in 22B+5C5B+18C=1.5 by 5B+18C.
22B+5C5B+18C⋅(5B+18C)=1.5⋅(5B+18C)
Cancel the common factor of 5B+18C.
Cancel the common factor.
22B+5C5B+18C⋅(5B+18C)=1.5⋅(5B+18C)
Rewrite the expression.
22B+5C=1.5⋅(5B+18C)
22B+5C=1.5⋅(5B+18C)
Simplify 1.5⋅(5B+18C).
Apply the distributive property.
22B+5C=1.5(5B)+1.5(18C)
Multiply.
Multiply 5 by 1.5.
22B+5C=7.5B+1.5(18C)
Multiply 18 by 1.5.
22B+5C=7.5B+27C
22B+5C=7.5B+27C
22B+5C=7.5B+27C
22B+5C=7.5B+27C
Move all terms containing B to the left side of the equation.
Subtract 7.5B from both sides of the equation.
22B+5C-7.5B=27C
Subtract 7.5B from 22B.
14.5B+5C=27C
14.5B+5C=27C
Move all terms not containing B to the right side of the equation.
Subtract 5C from both sides of the equation.
14.5B=27C-5C
Subtract 5C from 27C.
14.5B=22C
14.5B=22C
Divide each term by 14.5 and simplify.
Divide each term in 14.5B=22C by 14.5.
14.5B14.5=22C14.5
Cancel the common factor of 14.5.
B=22C14.5
Simplify 22C14.5.
Factor 22 out of 22C.
B=22(C)14.5
Factor 14.5 out of 14.5.
B=22(C)14.5(1)
Separate fractions.
B=2214.5⋅C1
Divide 22 by 14.5.
B=1.51724137C1
Divide C by 1.
B=1.51724137C
B=1.51724137C
B=1.51724137C
B=1.51724137C
Solve for B (22B+5C)/(5B+18C)=-172.8/-115.2

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