Simplify (7+i)-(6-2i)

$(7 + i) - (6 - 2 i)$

Step 1

Simplify each term.

Apply the distributive property.

$7 + i - 1 \cdot 6 - (- 2 i)$

Multiply $- 1$ by $6$ .

$7 + i - 6 - (- 2 i)$

Multiply $- 2$ by $- 1$ .

$7 + i - 6 + 2 i$

$7 + i - 6 + 2 i$

Step 2

Simplify by adding terms.

Subtract $6$ from $7$ .

$1 + i + 2 i$

Add $i$ and $2 i$ .

$1 + 3 i$

$1 + 3 i$

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