Simplify 4i*(-7+i)

$4 i \cdot (- 7 + i)$

Apply the distributive property.

$4 i \cdot - 7 + 4 i i$

Multiply $- 7$ by $4$ .

$- 28 i + 4 i i$

Multiply $4 i i$ .

Raise $i$ to the power of $1$ .

$- 28 i + 4 (i^{1} i)$

Raise $i$ to the power of $1$ .

$- 28 i + 4 (i^{1} i^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 28 i + 4 i^{1 + 1}$

Add $1$ and $1$ .

$- 28 i + 4 i^{2}$

Simplify each term.

Rewrite $i^{2}$ as $- 1$ .

$- 28 i + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$- 28 i - 4$

Reorder $- 28 i$ and $- 4$ .

$- 4 - 28 i$