Expand the Trigonometric Expression 6(5r-11)-(5-r)

$6 (5 r - 11) - (5 - r)$

Step 1

Simplify each term.

Apply the distributive property.

$6 (5 r) + 6 \cdot - 11 - (5 - r)$

Multiply $5$ by $6$ .

$30 r + 6 \cdot - 11 - (5 - r)$

Multiply $6$ by $- 11$ .

$30 r - 66 - (5 - r)$

Apply the distributive property.

$30 r - 66 - 1 \cdot 5 - - r$

Multiply $- 1$ by $5$ .

$30 r - 66 - 5 - - r$

Multiply $- - r$ .

Multiply $- 1$ by $- 1$ .

$30 r - 66 - 5 + 1 r$

Multiply $r$ by $1$ .

$30 r - 66 - 5 + r$

$30 r - 66 - 5 + r$

$30 r - 66 - 5 + r$

Step 2

Simplify by adding terms.

Add $30 r$ and $r$ .

$31 r - 66 - 5$

Subtract $5$ from $- 66$ .

$31 r - 71$

$31 r - 71$

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