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Type the integer that makes the following subtraction sentence true:

[tex]\[ -3 - \square = -12 \][/tex]

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Sagot :

To solve the equation [tex]\(-3 - \square = -12\)[/tex], we need to isolate the unknown value (let's call it [tex]\(x\)[/tex]).

1. Start with the given equation:
[tex]\[ -3 - x = -12 \][/tex]

2. To isolate [tex]\(x\)[/tex], first add 3 to both sides of the equation. This helps to move the constant term on the left-hand side to the right-hand side:
[tex]\[ -3 - x + 3 = -12 + 3 \][/tex]

3. Simplify both sides:
[tex]\[ -x = -9 \][/tex]

4. To solve for [tex]\(x\)[/tex], multiply both sides of the equation by [tex]\(-1\)[/tex] to get rid of the negative sign:
[tex]\[ -1 \cdot (-x) = -1 \cdot (-9) \][/tex]

5. This simplifies to:
[tex]\[ x = 9 \][/tex]

So, the integer that makes the subtraction sentence true is [tex]\(9\)[/tex].

Therefore, the solution is:
[tex]\[ 9 \][/tex]