Question

solve this linear equation for p
2.6(5.5p - 12.4) = 127.92

1. distributive property:
2. addition property of equality:
3. division property of equality:
4. solution

14.3p - 32.24 = 127.92
14.3p - 32.24 + 32.24 = 127.92 + 32.24
14.3p = 160.16
\frac{14.3p}{14.3} = \frac{160.16}{14.3}
p = \square

Explanation:

Step1: Apply distributive property

$2.6(5.5p - 12.4) = 127.92$
$14.3p - 32.24 = 127.92$

Step2: Apply addition property of equality

$14.3p - 32.24 + 32.24 = 127.92 + 32.24$
$14.3p = 160.16$

Step3: Apply division property of equality

$\frac{14.3p}{14.3} = \frac{160.16}{14.3}$

Step4: Calculate final value

$p = \frac{160.16}{14.3} = 11.2$

Answer:

$p = 11.2$