Simplify k+1/3(42+48k)

$k + \frac{1}{3} (42 + 48 k)$

Step 1

Simplify each term.

Apply the distributive property.

$k + \frac{1}{3} \cdot 42 + \frac{1}{3} (48 k)$

Cancel the common factor of $3$ .

Factor $3$ out of $42$ .

$k + \frac{1}{3} \cdot (3 (14)) + \frac{1}{3} (48 k)$

Cancel the common factor.

$k + \frac{1}{3} \cdot (3 \cdot 14) + \frac{1}{3} (48 k)$

Rewrite the expression.

$k + 14 + \frac{1}{3} (48 k)$

Cancel the common factor of $3$ .

Factor $3$ out of $48 k$ .

$k + 14 + \frac{1}{3} (3 (16 k))$

Cancel the common factor.

$k + 14 + \frac{1}{3} (3 (16 k))$

Rewrite the expression.

$k + 14 + 16 k$

Step 2

Add $k$ and $16 k$ .

$17 k + 14$