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s = a/4 + 8u
Subtract both sides by 8u.
s - 8u = a/4
Multiply both sides by 4.
a = 4(s - 8u)

are we solving for a in this question?

O.O

I just want clarification before I go further

@Sophhh786 is this question about solving for a ? as in having a by itself?

yes

alright so given the equation
\[s= \frac{a}{4}+8u\]
is this your equation?

yes

yes 4s =a+8u

close.
the 4s and the a is right but for the 8u
it should be 4(8u) = 32u

why?

because we are multiplying 4 throughout the equation. every term is going to be multiplied by 4

\[(4)s= \frac{a(4)}{4}+8u (4)\]

so it is like linear equations

yeah

so now we have
\[4s=a+32u\]
so we just need one more step. What do we need to do to get a by itself?

divide 4 y both sides

by

we multiplied 4 throughout the equation at the beginning to get rid of the fraction

so let's do an alternative version where we don't multiply 4 throughout the equation first.

ok

\[s-8u= \frac{a}{4}\]
so we have a by itself... but now we have to divide each term by 1/4

yeh actually @undeadknight26 version makes sense to me

and fewer steps too :)

oh ... in that step there was a 4 in common so he took it out

could you write it like this though a=4s-32 would that be appropriate for the final answer?

yeah

ok thanks @undeadknight26 and @UsukiDoll

you're welcome :)