Simplify (3+i)+(3+7i)-(-5+4i)

$(3 + i) + (3 + 7 i) - (- 5 + 4 i)$

Remove parentheses.

$3 + i + 3 + 7 i - (- 5 + 4 i)$

Simplify each term.

Apply the distributive property.

$3 + i + 3 + 7 i - - 5 - (4 i)$

Multiply $- 1$ by $- 5$ .

$3 + i + 3 + 7 i + 5 - (4 i)$

Multiply $4$ by $- 1$ .

$3 + i + 3 + 7 i + 5 - 4 i$

$3 + i + 3 + 7 i + 5 - 4 i$

Simplify by adding terms.

Add $3$ and $3$ .

$6 + i + 7 i + 5 - 4 i$

Add $6$ and $5$ .

$11 + i + 7 i - 4 i$

Add $i$ and $7 i$ .

$11 + 8 i - 4 i$

Subtract $4 i$ from $8 i$ .

$11 + 4 i$

$11 + 4 i$

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