Certainly! Let's verify the statement [tex]\(18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)]\)[/tex] step by step to check if both sides of the equation are equal.
### Left Side of the Equation
Start with the left side:
[tex]\[18 \times [7 + (-3)]\][/tex]
1. Evaluate the expression inside the brackets first:
[tex]\[7 + (-3) = 4\][/tex]
2. Now multiply the result by 18:
[tex]\[18 \times 4 = 72\][/tex]
So, the left side of the equation evaluates to 72.
### Right Side of the Equation
Now, let's evaluate the right side:
[tex]\[[18 \times 7] + [18 \times (-3)]\][/tex]
1. First, perform the multiplications:
[tex]\[18 \times 7 = 126\][/tex]
[tex]\[18 \times (-3) = -54\][/tex]
2. Now, add the two results:
[tex]\[126 + (-54) = 72\][/tex]
So, the right side of the equation also evaluates to 72.
### Conclusion
Since both sides of the equation evaluate to 72, we can confirm that:
[tex]\[18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)]\][/tex]
Both sides are equal, verifying the given statement.
