Question

use the distributive property to rewrite the left side of the equation without parentheses. you can think about ( 10 - 2(h + 4) ) as ( 10 + -2(h + 4) ). start by distributing -2 to the first term, ( h ).
( 10 - 2(h + 4) )
( = )
( 10 + -2(h + 4) )
( = )
( 10 + square +? )
( = )
( 3h - 8 )
( 3h - 8 )
( 3h - 8 )

Explanation:

Step1: Rewrite subtraction as addition

$10 - 2(h+4) = 10 + (-2)(h+4)$

Step2: Distribute -2 to $h$ and 4

$10 + (-2)(h) + (-2)(4)$

Step3: Simplify the products

$10 + (-2h) + (-8)$

Step4: Rewrite for the blank

$10 + (-2h) + (-8) = 10 + \boldsymbol{-2h} + (-8)$

Answer:

The blank should be filled with $\boldsymbol{-2h}$, so the full rewritten form is $10 + -2h + (-8) = 3h - 8$