What is simplify-9(4p-6q)+8q-7(3q-3p) ?

The solution to simplify-9(4p-6q)+8q-7(3q-3p) is -15p+41q

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simplify-9(4p-6q)+8q-7(3q-3p)

simplify

- 9 (4 p - 6 q) + 8 q - 7 (3 q - 3 p)

- 15 p + 41 q

Solution steps

- 9 (4 p - 6 q) + 8 q - 7 (3 q - 3 p)

Expand

- 9 (4 p - 6 q) : - 36 p + 54 q

= - 36 p + 54 q + 8 q - 7 (3 q - 3 p)

Expand

- 7 (3 q - 3 p) : - 21 q + 21 p

= - 36 p + 54 q + 8 q - 21 q + 21 p

Add similar elements:

54 q + 8 q - 21 q = 41 q

= - 36 p + 41 q + 21 p

Group like terms

= - 36 p + 21 p + 41 q

Add similar elements:

- 36 p + 21 p = - 15 p

= - 15 p + 41 q

\frac{2 + 5 + 15}{2 + 5 + 3}

lo g_{2} (18) - 2 lo g_{2} (3)

- 6 x + 4 (- x - 3)

3 x y z^{2} - 9 x z + 12 x^{3} z^{3}

5 + (- 12)

What is simplify-9(4p-6q)+8q-7(3q-3p) ?
The solution to simplify-9(4p-6q)+8q-7(3q-3p) is -15p+41q