Question
Solve the equation
Solve for H
Solve for a
Solve for m
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H=−mua+nua−4ua2n
Evaluate
m+n−4=2m+6n÷3Hua
Divide the terms
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Evaluate
6n÷3Hua
Rewrite the expression
3Hua6n
Divide the terms
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Evaluate
36
Reduce the numbers
12
Calculate
2
Hua2n
m+n−4=2m+Hua2n
Rewrite the expression
m+n−4=2m+uaH2n
Swap the sides of the equation
2m+uaH2n=m+n−4
Move the expression to the right-hand side and change its sign
uaH2n=m+n−4−2m
Subtract the terms
uaH2n=−m+n−4
Multiply both sides of the equation by LCD
uaH2n×uaH=(−m+n−4)uaH
Simplify the equation
2n=(−m+n−4)uaH
Simplify the equation
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Evaluate
(−m+n−4)uaH
Multiply the numbers
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Evaluate
(−m+n−4)ua
Multiply the terms
(−mu+nu−4u)a
Apply the distributive property
−mua+nua−4ua
(−mua+nua−4ua)H
2n=(−mua+nua−4ua)H
Swap the sides of the equation
(−mua+nua−4ua)H=2n
Divide both sides
−mua+nua−4ua(−mua+nua−4ua)H=−mua+nua−4ua2n
Solution
H=−mua+nua−4ua2n
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