Simplify 7+(9+27i)-2(25-11i)

$7 + (9 + 27 i) - 2 (25 - 11 i)$

Step 1

Remove parentheses.

$7 + 9 + 27 i - 2 (25 - 11 i)$

Step 2

Simplify each term.

Apply the distributive property.

$7 + 9 + 27 i - 2 \cdot 25 - 2 (- 11 i)$

Multiply $- 2$ by $25$ .

$7 + 9 + 27 i - 50 - 2 (- 11 i)$

Multiply $- 11$ by $- 2$ .

$7 + 9 + 27 i - 50 + 22 i$

$7 + 9 + 27 i - 50 + 22 i$

Step 3

Simplify by adding terms.

Add $7$ and $9$ .

$16 + 27 i - 50 + 22 i$

Subtract $50$ from $16$ .

$- 34 + 27 i + 22 i$

Add $27 i$ and $22 i$ .

$- 34 + 49 i$

$- 34 + 49 i$

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