Simplify 6i-(14-i)+(5-3i)

$6 i - (14 - i) + (5 - 3 i)$

Remove parentheses.

$6 i - (14 - i) + 5 - 3 i$

Simplify each term.

Apply the distributive property.

$6 i - 1 \cdot 14 - - i + 5 - 3 i$

Multiply $- 1$ by $14$ .

$6 i - 14 - - i + 5 - 3 i$

Multiply $- 1$ by $- 1$ .

$6 i - 14 + 1 i + 5 - 3 i$

Multiply $i$ by $1$ .

$6 i - 14 + i + 5 - 3 i$

$6 i - 14 + i + 5 - 3 i$

Simplify by adding terms.

Add $6 i$ and $i$ .

$- 14 + 7 i + 5 - 3 i$

Add $- 14$ and $5$ .

$- 9 + 7 i - 3 i$

Subtract $3 i$ from $7 i$ .

$- 9 + 4 i$

$- 9 + 4 i$

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