Solve for d p=13+(5d)/8

Math
p=13+5d8
Rewrite the equation as 13+5d8=p.
13+5d8=p
Subtract 13 from both sides of the equation.
5d8=p-13
Multiply both sides of the equation by 85.
85⋅5d8=85⋅(p-13)
Simplify both sides of the equation.
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Simplify 85⋅5d8.
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Cancel the common factor of 8.
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Cancel the common factor.
85⋅5d8=85⋅(p-13)
Rewrite the expression.
15⋅(5d)=85⋅(p-13)
15⋅(5d)=85⋅(p-13)
Cancel the common factor of 5.
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Factor 5 out of 5d.
15⋅(5(d))=85⋅(p-13)
Cancel the common factor.
15⋅(5d)=85⋅(p-13)
Rewrite the expression.
d=85⋅(p-13)
d=85⋅(p-13)
d=85⋅(p-13)
Simplify 85⋅(p-13).
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Apply the distributive property.
d=85p+85⋅-13
Combine 85 and p.
d=8p5+85⋅-13
Multiply 85⋅-13.
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Combine 85 and -13.
d=8p5+8⋅-135
Multiply 8 by -13.
d=8p5+-1045
d=8p5+-1045
Move the negative in front of the fraction.
d=8p5-1045
d=8p5-1045
d=8p5-1045
Solve for d p=13+(5d)/8

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