Answer :

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].