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homework #6: literal equatio
solve ( t = m(9 + fg) ) for ( f ).
( f = square )
Step1: Divide both sides by M
Given the equation $T = M(9 + FG)$, we first divide each side by $M$ (assuming $M
eq0$) to get $\dfrac{T}{M}=9 + FG$.
Step2: Subtract 9 from both sides
Subtract 9 from both sides of the equation: $\dfrac{T}{M}-9 = FG$.
Step3: Divide both sides by MG
Now, divide each side by $MG$ (assuming $MG
eq0$) to solve for $F$: $F=\dfrac{\dfrac{T}{M}-9}{MG}$. To simplify the numerator, we get a common denominator: $\dfrac{T - 9M}{M}$, so then $F=\dfrac{T - 9M}{M\times MG}=\dfrac{T - 9M}{MG}$.
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$\dfrac{T - 9M}{MG}$