Solve for q A=1/2*(f(q+z))

Math
A=12⋅(f(q+z))
Rewrite the equation as 12⋅(f(q+z))=A.
12⋅(f(q+z))=A
Multiply both sides of the equation by 2.
2⋅12⋅(f(q+z))=2⋅A
Simplify 2⋅12⋅(f(q+z)).
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Cancel the common factor of 2.
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Cancel the common factor.
2⋅12⋅(f(q+z))=2⋅A
Rewrite the expression.
1⋅(f(q+z))=2⋅A
1⋅(f(q+z))=2⋅A
Multiply f(q+z) by 1.
f(q+z)=2⋅A
Apply the distributive property.
fq+fz=2⋅A
fq+fz=2A
Subtract fz from both sides of the equation.
fq=2A-fz
Divide each term by f and simplify.
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Divide each term in fq=2A-fz by f.
fqf=2Af+-fzf
Cancel the common factor of f.
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Cancel the common factor.
fqf=2Af+-fzf
Divide q by 1.
q=2Af+-fzf
q=2Af+-fzf
Simplify each term.
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Cancel the common factor of f.
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Cancel the common factor.
q=2Af+-fzf
Divide -1z by 1.
q=2Af-1z
q=2Af-1z
Rewrite -1z as -z.
q=2Af-z
q=2Af-z
q=2Af-z
Solve for q A=1/2*(f(q+z))

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