$$\left. \begin{array} { l } { \frac { 9 p + 7 } { 2 } - ( 1 + p - \frac { p - 2 } { 7 } ) = 35 } \end{array} \right.$$
$p=9$
$$7\left(9p+7\right)-14\left(1+p-\frac{p-2}{7}\right)=490$$
$$63p+49-14\left(1+p-\frac{p-2}{7}\right)=490$$
$$63p+49-14\left(1+p-\left(\frac{1}{7}p-\frac{2}{7}\right)\right)=490$$
$$63p+49-14\left(1+p-\frac{1}{7}p-\left(-\frac{2}{7}\right)\right)=490$$
$$63p+49-14\left(1+p-\frac{1}{7}p+\frac{2}{7}\right)=490$$
$$63p+49-14\left(1+\frac{6}{7}p+\frac{2}{7}\right)=490$$
$$63p+49-14\left(\frac{7}{7}+\frac{6}{7}p+\frac{2}{7}\right)=490$$
$$63p+49-14\left(\frac{7+2}{7}+\frac{6}{7}p\right)=490$$
$$63p+49-14\left(\frac{9}{7}+\frac{6}{7}p\right)=490$$
$$63p+49-14\times \frac{9}{7}-14\times \frac{6}{7}p=490$$
$$63p+49+\frac{-14\times 9}{7}-14\times \frac{6}{7}p=490$$
$$63p+49+\frac{-126}{7}-14\times \frac{6}{7}p=490$$
$$63p+49-18-14\times \frac{6}{7}p=490$$
$$63p+49-18+\frac{-14\times 6}{7}p=490$$
$$63p+49-18+\frac{-84}{7}p=490$$
$$63p+49-18-12p=490$$
$$63p+31-12p=490$$
$$51p+31=490$$
$$51p=490-31$$
$$51p=459$$
$$p=\frac{459}{51}$$
$$p=9$$
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