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9(m+8)+11(3m+4)

Music destructive property and combining like terms to simplify

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To simplify the expression \( 9(m + 8) + 11(3m + 4) \), we will use the distributive property and then combine like terms. Here’s how to do it step by step:

  1. Apply the Distributive Property: \[ 9(m + 8) = 9m + 72 \] \[ 11(3m + 4) = 33m + 44 \]

  2. Combine the results: Now substitute these results back into the original expression: \[ 9m + 72 + 33m + 44 \]

  3. Combine like terms: To combine like terms, add the coefficients of \( m \) and the constant terms separately: \[ (9m + 33m) + (72 + 44) = 42m + 116 \]

So, the simplified expression is: \[ \boxed{42m + 116} \]