Simplify -9(6m-3)+6(1+4m)

$- 9 (6 m - 3) + 6 (1 + 4 m)$

Step 1

Simplify each term.

Apply the distributive property.

$- 9 (6 m) - 9 \cdot - 3 + 6 (1 + 4 m)$

Multiply $6$ by $- 9$ .

$- 54 m - 9 \cdot - 3 + 6 (1 + 4 m)$

Multiply $- 9$ by $- 3$ .

$- 54 m + 27 + 6 (1 + 4 m)$

Apply the distributive property.

$- 54 m + 27 + 6 \cdot 1 + 6 (4 m)$

Multiply $6$ by $1$ .

$- 54 m + 27 + 6 + 6 (4 m)$

Multiply $4$ by $6$ .

$- 54 m + 27 + 6 + 24 m$

$- 54 m + 27 + 6 + 24 m$

Step 2

Simplify by adding terms.

Add $- 54 m$ and $24 m$ .

$- 30 m + 27 + 6$

Add $27$ and $6$ .

$- 30 m + 33$

$- 30 m + 33$

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