Question

Can you answer

-162= 8 - 5(4p + 2)

Answer 1

Answer: p = 8

Explanation:

Given expression

-162 = 8 - 5 (4p + 2)

Expand parentheses and apply the distributive property

-162 = 8 - 20p - 10

Combine like terms

-162 = (8 - 10) - 20p

-162 = -2 - 20p

Add 2 on both sides

-162 + 2 = -2 - 20p + 2

-160 = -20p

Divide -20 on both sides

-160 / -20 = -20p / -20

`\boxed{p=8}`

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Answer 2

p= 8

Explanation:

-162= 8 -5(4p +2)

Expand:

-162= 8 -5(4p) -5(2)

-162= 8 -20p -10

Simplify:

-162= -2 -20p

Bring p terms to one side, constants to the other:

20p= 162 -2

Simplify:

20p= 160

Divide both sides by 20:

p= 160 ÷20

p= 8