Expand the Trigonometric Expression -3(2+4k)+7(2k-1)

$- 3 (2 + 4 k) + 7 (2 k - 1)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 \cdot 2 - 3 (4 k) + 7 (2 k - 1)$

Multiply $- 3$ by $2$ .

$- 6 - 3 (4 k) + 7 (2 k - 1)$

Multiply $4$ by $- 3$ .

$- 6 - 12 k + 7 (2 k - 1)$

Apply the distributive property.

$- 6 - 12 k + 7 (2 k) + 7 \cdot - 1$

Multiply $2$ by $7$ .

$- 6 - 12 k + 14 k + 7 \cdot - 1$

Multiply $7$ by $- 1$ .

$- 6 - 12 k + 14 k - 7$

$- 6 - 12 k + 14 k - 7$

Step 2

Simplify by adding terms.

Subtract $7$ from $- 6$ .

$- 12 k + 14 k - 13$

Add $- 12 k$ and $14 k$ .

$2 k - 13$

$2 k - 13$

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