Certainly! Let's solve the given equation step-by-step.
The equation we need to solve is:
[tex]\[ -12 \div \square = 4 + (-6) \][/tex]
Step 1: Simplify the right-hand side of the equation
First, let's simplify the expression on the right-hand side:
[tex]\[ 4 + (-6) \][/tex]
Perform the addition:
[tex]\[ 4 + (-6) = -2 \][/tex]
So, our equation now looks like:
[tex]\[ -12 \div \square = -2 \][/tex]
Step 2: Convert the division equation into a multiplication equation
To make it easier to find the value of the missing number (let's call it [tex]\( x \)[/tex]), we can rewrite the division as a multiplication:
[tex]\[ -12 \div x = -2 \][/tex]
This is equivalent to:
[tex]\[ -12 = -2 \times x \][/tex]
Step 3: Solve for the missing number [tex]\( x \)[/tex]
To isolate [tex]\( x \)[/tex], we need to divide both sides of the equation by [tex]\(-2\)[/tex]:
[tex]\[ x = \frac{-12}{-2} \][/tex]
Step 4: Simplify the fraction
Now, let's simplify the fraction:
[tex]\[ x = 6 \][/tex]
Therefore, the missing number [tex]\( \square \)[/tex] is:
[tex]\[ \square = 6 \][/tex]
So, the value of the missing number that satisfies the given equation [tex]\( -12 \div \square = 4 + (-6) \)[/tex] is [tex]\( 6 \)[/tex].
