Question

3p - 2(p-4) = 7p + 6

Answer 1

For this case we must find the value of the variable "p" of the following equation:

$3p-2 (p-4) = 7p + 6$

We apply distributive property on the left side of the equation taking into account that $+*-=-$  and $- * - = +$:

$3p-2p + 8 = 7p + 6$

We add similar terms:

$p + 8 = 7p + 6$

We subtract $7p$  from both sides of the equation:

$p-7p + 8 = 6\\-6p + 8 = 6$

We subtract 8 from both sides of the equation:

$-6p = 6-8\\-6p = -2$

We divide by -6 on both sides of the equation:

$p = \frac {-2} {- 6}\\p = \frac {1} {3}$

Answer:

$p = \frac {1} {3}$