Sure, let's solve this step-by-step!
We need to evaluate the expression on both sides of the equation to verify their equality.
### Step 1: Simplify the Expression Inside the Brackets
First, we simplify the expression inside the brackets on the left-hand side of the equation:
[tex]\[ 7 + (-3) \][/tex]
When you add [tex]\(-3\)[/tex] to [tex]\(7\)[/tex], you get:
[tex]\[ 7 - 3 = 4 \][/tex]
### Step 2: Multiply 18 by the Simplified Result
Next, we multiply the result by 18:
[tex]\[ 18 \times 4 = 72 \][/tex]
So, the left-hand side simplifies to 72:
[tex]\[ 18 \times [7 + (-3)] = 72 \][/tex]
### Step 3: Apply the Distributive Property
Now, let's use the distributive property on the right-hand side of the equation:
[tex]\[ 18 \times 7 + 18 \times (-3) \][/tex]
### Step 4: Perform the Multiplications
Evaluate the two products separately:
[tex]\[ 18 \times 7 = 126 \][/tex]
[tex]\[ 18 \times (-3) = -54 \][/tex]
### Step 5: Add the Results Together
Now, add the two results together:
[tex]\[ 126 + (-54) = 126 - 54 = 72 \][/tex]
So, the right-hand side also simplifies to 72:
[tex]\[ [18 \times 7] + [18 \times (-3)] = 72 \][/tex]
### Conclusion
Since both the left-hand side and the right-hand side of the equation simplify to 72, we can conclude:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
Thus, the given equation holds true.
