Question

1. solve for k: f = gk + 2e
2. solve for w: e - w = e
3. solve for s: sj - k = l
4. solve for n: \frac{1}{4}n = e
5. solve for e: ne - p = q
6. solve for t: ys + t = u

Explanation:

Step1: Isolate term with k

Subtract $2e$ from both sides:
$f - 2e = gk$

Step2: Solve for k

Divide both sides by $g$:
$\frac{f - 2e}{g} = k$

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Step1: Isolate term with w

Subtract $e$ from both sides:
$-w = e - e$

Step2: Simplify and solve for w

Simplify right-hand side, multiply by $-1$:
$-w = 0 \implies w = 0$

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Step1: Isolate term with s

Add $k$ to both sides:
$sj = l + k$

Step2: Solve for s

Divide both sides by $j$:
$s = \frac{l + k}{j}$

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Step1: Solve for n

Multiply both sides by 4:
$n = 4e$

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Step1: Isolate term with e

Add $p$ to both sides:
$ne = q + p$

Step2: Solve for e

Divide both sides by $n$:
$e = \frac{q + p}{n}$

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Step1: Isolate term with t

Subtract $ys$ from both sides:
$t = u - ys$

Answer:

1. $k = \frac{f - 2e}{g}$
2. $w = 0$
3. $s = \frac{l + k}{j}$
4. $n = 4e$
5. $e = \frac{p + q}{n}$
6. $t = u - ys$