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simplify the expression to a + bi form: $(-12 - 7i) - (-11 - 2i)$

Question

simplify the expression to a + bi form:
$(-12 - 7i) - (-11 - 2i)$

Explanation:

Step1: Distribute the negative sign

$(-12 - 7i) + 11 + 2i$

Step2: Combine real parts

$-12 + 11 = -1$

Step3: Combine imaginary parts

$-7i + 2i = -5i$

Step4: Combine results

$-1 + (-5i)$

Answer:

$-1 - 5i$