Question

Find the exact value of p, where 2(2-p)=2-4p

Answer 1

Answer:

$2 \left( 2 - p \right) = 2 - 4 p \quad : \quad p = - 1$

Step-by-step explanation:

$2 \left( 2 - p \right) = 2 - 4 p$

$\gray{\mathrm{ E x p a n d \: } 2 \left( 2 - p \right) : \quad 4 - 2 p }$

$4 - 2 p = 2 - 4 p$

$\gray{\mathrm{ S u b t r a c t \: } 4 \mathrm{ \: f r o m \: b o t h \: s i d e s }}$

$4 - 2 p - 4 = 2 - 4 p - 4$

$\gray{\mathrm{ S i m p l i f y }}$

$- 2 p = - 4 p - 2$

$\mathrm{ A d d \: } 4 p \mathrm{ \: t o \: b o t h \: s i d e s }$

$- 2 p + 4 p = - 4 p - 2 + 4 p$

$\gray{\mathrm{ S i m p l i f y }}$

$2 p = - 2$

$\gray{ \mathrm{ D i v i d e \: b o t h \: s i d e s \: b y \: } 2}$

$\dfrac{ 2 p }{ 2 } = \dfrac{ - 2 }{ 2 }$

$\gray{\mathrm{ S i m p l i f y }}$

$p = - 1$