5(a-2)+2+3a

-8(-5r+7)+7(7r+1)

1 answer

Let's simplify both expressions step by step.

For the first expression:
\[ 5(a - 2) + 2 + 3a \]

  1. Distribute \(5\) in the first term: \[ 5a - 10 + 2 + 3a \]

  2. Combine like terms: \[ 5a + 3a - 10 + 2 = 8a - 8 \]

So, the simplified form of the first expression is: \[ 8a - 8 \]


For the second expression:
\[-8(-5r + 7) + 7(7r + 1)\]

  1. Distribute \(-8\) and \(7\): \[ 40r - 56 + 49r + 7 \]

  2. Combine like terms: \[ 40r + 49r - 56 + 7 = 89r - 49 \]

So, the simplified form of the second expression is: \[ 89r - 49 \]


Final Answers:

  1. The first expression simplifies to:
    \[ 8a - 8 \]

  2. The second expression simplifies to:
    \[ 89r - 49 \]