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5. \\(8r + 12p - 7 - 3p\\)

Question

  1. \\(8r + 12p - 7 - 3p\\)

Explanation:

Step1: Combine like terms for $p$

$8r + 12p - 3p = 7$
$8r + 9p = 7$

Step2: Isolate $8r$

$8r = 7 - 9p$

Step3: Solve for $r$

$r = \frac{7 - 9p}{8}$

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Alternatively, if solving for $p$:

Step1: Combine like terms for $p$

$8r + 12p - 3p = 7$
$8r + 9p = 7$

Step2: Isolate $9p$

$9p = 7 - 8r$

Step3: Solve for $p$

$p = \frac{7 - 8r}{8}$

Answer:

If solving for $r$: $\boldsymbol{r = \frac{7 - 9p}{8}}$
If solving for $p$: $\boldsymbol{p = \frac{7 - 8r}{9}}$