Simplify (-5i)+(6i)-(-4+7i)

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $- 4$ .

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

Multiply $7$ by $- 1$ .

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

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

Step 3

Simplify by adding terms.

Add $- 5 i$ and $6 i$ .

$i + 4 - 7 i$

Subtract $7 i$ from $i$ .

$4 - 6 i$

$4 - 6 i$

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