Simplify (10r+9)-(12r-5)

$(10 r + 9) - (12 r - 5)$

Step 1

Simplify each term.

Apply the distributive property.

$10 r + 9 - (12 r) - - 5$

Multiply $12$ by $- 1$ .

$10 r + 9 - 12 r - - 5$

Multiply $- 1$ by $- 5$ .

$10 r + 9 - 12 r + 5$

$10 r + 9 - 12 r + 5$

Step 2

Simplify by adding terms.

Subtract $12 r$ from $10 r$ .

$- 2 r + 9 + 5$

Add $9$ and $5$ .

$- 2 r + 14$

$- 2 r + 14$

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