Respuesta :

Answer:

[tex] - 11 - 2p = 6p + 5(p + 3) \\ - 11 - 2p = 6p + 5p + 15 \\ p \: termstogther \\ - 11 - 15 = 6p + 5p + 2p \\ - 26 = 13p \\ p = \frac{ - 26}{13} = -2 \: p = -2\\ thank \: you[/tex]

Answer: p = -2

Step-by-step explanation:

Given expression

-11 - 2p = 6p + 5(p + 3)

Expand parentheses and apply the distributive property

-11 - 2p = 6p + 5p + 15

Combine like terms

-11 - 2p = (6p + 5p) + 15

-11 - 2p = 11p + 15

Add 11 on both sides

-11 - 2p + 11 = 11p + 15 + 11

-2p = 11p + 26

Subtract 11p on both sides

-2p - 11p = 11p + 26 - 11p

-13p = 26

Divide -13 on both sides

-13p / -13 = 26 / -13

[tex]\boxed{p=-2}[/tex]

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