What is 3(p-2q)-4(2p-3q-5) ?

The solution to 3(p-2q)-4(2p-3q-5) is -5p+6q+20

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simplify 3(p-2q)-4(2p-3q-5)

simplify

3 (p - 2 q) - 4 (2 p - 3 q - 5)

- 5 p + 6 q + 20

Solution steps

3 (p - 2 q) - 4 (2 p - 3 q - 5)

Expand

3 (p - 2 q) : 3 p - 6 q

= 3 p - 6 q - 4 (2 p - 3 q - 5)

Expand

- 4 (2 p - 3 q - 5) : - 8 p + 12 q + 20

= 3 p - 6 q - 8 p + 12 q + 20

Group like terms

= 3 p - 8 p - 6 q + 12 q + 20

Add similar elements:

3 p - 8 p = - 5 p

= - 5 p - 6 q + 12 q + 20

Add similar elements:

- 6 q + 12 q = 6 q

= - 5 p + 6 q + 20

4 + 6 (a c + 2 b) + 2 a c

\frac{47}{24}

- 532

- \frac{1}{2} + 0

- 22.87 2^{2} + 2 (- 22.872) + 1