Question

solve the equation $4(p + 5)=21$.
what property can you use to rewrite the equation
the distributive property
what is another way to remove the parentheses?
? on both sides.
add
subtract
multiply by
divide by

Explanation:

Step1: Solve for $p$ (method 1)

First, use distributive property:
$4(p+5)=4p + 20 = 21$

Step2: Isolate the variable term

Subtract 20 from both sides:
$4p = 21 - 20 = 1$

Step3: Solve for $p$

Divide by 4 on both sides:
$p = \frac{1}{4}$

Step4: Alternative parenthesis removal

To remove parentheses without distribution, divide both sides by 4 first:
$\frac{4(p+5)}{4} = \frac{21}{4} \implies p+5 = \frac{21}{4}$

Answer:

1. $p = \frac{1}{4}$
2. Divide by; 4