Use the properties of operations to add 9(k+13)+10(12k−1)

To simplify the expression \( 9(k + 13) + 10(12k - 1) \), we can use the distributive property.

1. Distribute \( 9 \) through \( (k + 13) \): \[ 9(k + 13) = 9k + 117 \]

2. Distribute \( 10 \) through \( (12k - 1) \): \[ 10(12k - 1) = 120k - 10 \]

3. Now, combine both results: \[ 9k + 117 + 120k - 10 \]

4. Combine like terms. Combine \( 9k \) and \( 120k \): \[ (9k + 120k) + (117 - 10) = 129k + 107 \]

So the simplified expression is \( 129k + 107 \).

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