Simplify (i-3)+6i-3(8-i)

$(i - 3) + 6 i - 3 (8 - i)$

Simplify each term.

Apply the distributive property.

$(i - 3) + 6 i - 3 \cdot 8 - 3 (- i)$

Multiply $- 3$ by $8$ .

$(i - 3) + 6 i - 24 - 3 (- i)$

Multiply $- 1$ by $- 3$ .

$(i - 3) + 6 i - 24 + 3 i$

$(i - 3) + 6 i - 24 + 3 i$

Simplify by adding terms.

Add $i$ and $6 i$ .

$- 3 + 7 i - 24 + 3 i$

Subtract $24$ from $- 3$ .

$- 27 + 7 i + 3 i$

Add $7 i$ and $3 i$ .

$- 27 + 10 i$

$- 27 + 10 i$

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