Solve for q b=1/4*(f(q+z))

Math
b=14⋅(f(q+z))
Rewrite the equation as 14⋅(f(q+z))=b.
14⋅(f(q+z))=b
Multiply both sides of the equation by 4.
4⋅14⋅(f(q+z))=4⋅b
Simplify 4⋅14⋅(f(q+z)).
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Cancel the common factor of 4.
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Cancel the common factor.
4⋅14⋅(f(q+z))=4⋅b
Rewrite the expression.
1⋅(f(q+z))=4⋅b
1⋅(f(q+z))=4⋅b
Multiply f(q+z) by 1.
f(q+z)=4⋅b
Apply the distributive property.
fq+fz=4⋅b
fq+fz=4b
Subtract fz from both sides of the equation.
fq=4b-fz
Divide each term by f and simplify.
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Divide each term in fq=4b-fz by f.
fqf=4bf+-fzf
Cancel the common factor of f.
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Cancel the common factor.
fqf=4bf+-fzf
Divide q by 1.
q=4bf+-fzf
q=4bf+-fzf
Simplify each term.
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Cancel the common factor of f.
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Cancel the common factor.
q=4bf+-fzf
Divide -1z by 1.
q=4bf-1z
q=4bf-1z
Rewrite -1z as -z.
q=4bf-z
q=4bf-z
q=4bf-z
Solve for q b=1/4*(f(q+z))

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