Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Factor $3$ out of $42$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $48 k$ .

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

Step 1.3.2

Cancel the common factor.

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

Step 1.3.3

Rewrite the expression.

$k + 14 + 16 k$

Step 2

Add $k$ and $16 k$ .

$17 k + 14$