Simplify 1+3(r-8)-4(r+4)

$1 + 3 (r - 8) - 4 (r + 4)$

Step 1

Simplify each term.

Apply the distributive property.

$1 + 3 r + 3 \cdot - 8 - 4 (r + 4)$

Multiply $3$ by $- 8$ .

$1 + 3 r - 24 - 4 (r + 4)$

Apply the distributive property.

$1 + 3 r - 24 - 4 r - 4 \cdot 4$

Multiply $- 4$ by $4$ .

$1 + 3 r - 24 - 4 r - 16$

$1 + 3 r - 24 - 4 r - 16$

Step 2

Simplify by adding terms.

Subtract $24$ from $1$ .

$3 r - 23 - 4 r - 16$

Subtract $4 r$ from $3 r$ .

$- r - 23 - 16$

Subtract $16$ from $- 23$ .

$- r - 39$

$- r - 39$

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