10, left parenthesis, 7, p, plus, 6, right parenthesis, minus, 5, left parenthesis, 5, p, plus, 4, right parenthesis10(7p+6)−5(5p+4)

Answer 1

To simplify the expression \( 10(7p + 6) - 5(5p + 4) \), we will distribute the numbers outside the parentheses:

1. Distribute \( 10 \) into \( (7p + 6) \): \[ 10(7p) + 10(6) = 70p + 60 \]

2. Distribute \( -5 \) into \( (5p + 4) \): \[ -5(5p) - 5(4) = -25p - 20 \]

Now, we can combine these results: \[ 70p + 60 - 25p - 20 \]

Next, combine like terms:

• For the \( p \) terms: \( 70p - 25p = 45p \)
• For the constant terms: \( 60 - 20 = 40 \)

Putting it all together, we have: \[ 45p + 40 \]

Thus, the simplified expression is: \[ \boxed{45p + 40} \]