Final answer:
To solve the problem, simplify the given expression, distribute the negative sign, and combine like terms. The final result is 6x - 10y - 2z.
Step-by-step explanation:
To solve this problem, let's first simplify the given expression. We have the sum of x - 3y + 2z + 32 and -4x + 9y - 11z. So, the sum is (x - 3y + 2z + 32) + (-4x + 9y - 11z).
Now, we need to subtract 3x - 4y - 7z from this sum. Hence, the final expression becomes [(x - 3y + 2z + 32) + (-4x + 9y - 11z)] - (3x - 4y - 7z).
Next, we simplify the expression by distributing the negative sign to all terms inside the parentheses, and then combining like terms. This gives us 6x - 10y - 2z as the final result.
Learn more about Solving algebraic expressions