To solve the equation [tex]\( \square + (-8) = -6 \)[/tex], we need to find the integer that makes this addition sentence true. Let's break it down step-by-step:
1. Let the unknown integer be [tex]\( x \)[/tex]. Our original equation then becomes [tex]\( x + (-8) = -6 \)[/tex].
2. To isolate [tex]\( x \)[/tex] on one side of the equation, we add [tex]\( 8 \)[/tex] to both sides:
[tex]\[
x + (-8) + 8 = -6 + 8
\][/tex]
3. Simplifying this, on the left side, [tex]\(-8 + 8\)[/tex] cancels out and becomes [tex]\( 0 \)[/tex], leaving us with:
[tex]\[
x = -6 + 8
\][/tex]
4. Next, we perform the addition on the right side:
[tex]\[
-6 + 8 = 2
\][/tex]
Therefore, the integer that makes the addition sentence [tex]\( \square + (-8) = -6 \)[/tex] true is [tex]\( 2 \)[/tex].
