Let's simplify the expression \(3(3n + 5) + 1(n - 20)\). 1. Distribute the 3 in the first term: \[ 3(3n) + 3(5) = 9n + 15 \] 2. Distribute the 1 in the second term: \[ 1(n) + 1(-20) = n - 20 \] 3. Now combine both parts of the expression: \[ 9n + 15 + n - 20 \] 4. Combine like terms: - For the \(n\) terms: \(9n + n = 10n\) - For the constant terms: \(15 - 20 = -5\) So, the simplified expression is: \[ 10n - 5 \]

3(3n+5)+1(n-20)

1 answer

Let's simplify the expression \(3(3n + 5) + 1(n - 20)\).

Distribute the 3 in the first term: \[ 3(3n) + 3(5) = 9n + 15 \]
Distribute the 1 in the second term: \[ 1(n) + 1(-20) = n - 20 \]
Now combine both parts of the expression: \[ 9n + 15 + n - 20 \]
Combine like terms:
- For the \(n\) terms: \(9n + n = 10n\)
- For the constant terms: \(15 - 20 = -5\)

So, the simplified expression is: \[ 10n - 5 \]