Simplify (5-2i)-2(3+i)

$(5 - 2 i) - 2 (3 + i)$

Step 1

Simplify each term.

Apply the distributive property.

$5 - 2 i - 2 \cdot 3 - 2 i$

Multiply $- 2$ by $3$ .

$5 - 2 i - 6 - 2 i$

$5 - 2 i - 6 - 2 i$

Step 2

Simplify by adding terms.

Subtract $6$ from $5$ .

$- 1 - 2 i - 2 i$

Subtract $2 i$ from $- 2 i$ .

$- 1 - 4 i$

$- 1 - 4 i$

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