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4(2p+4q+6)

You need to multiply 4 by each variable in the parentheses.
(4*2p) + (4*4q) + (4*6)

8p + 16q + 24 is the answer.

Answer:

The simplified form of the provided expression is: [tex]8p+16q+24[/tex]

Step-by-step explanation:

Consider the provided expression.

[tex]4(2p+4q+6)[/tex]

Distributive property:

[tex]a(b+c)=ab+ac[/tex]

Now use the distributive property to simplify the provided expression.

Distribute 4 inside the parentheses.

[tex]4\times 2p+4\times 4q+4\times 6[/tex]

[tex]8p+16q+24[/tex]

Hence, the simplified form of the provided expression is: [tex]8p+16q+24[/tex]