Question

Answer with work shown(please)

-14p = 112
-18 = x -13
14= n +7
354 = -6(-8m -3)
8(5p - 5) = -120
-4(5n - 1) = -156​

Answer 1

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Explanation:

1. -14p = 112:-

Divide both sides by -14:-

`\sf \cfrac{-14p}{-14}=\cfrac{112}{-14}`

`\boxed{\bf p=-8}`

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2. -18 = x -13

`\sf x-13=-18`

Add 13 to both sides:-

`\sf x-13+13=-18+13`

`\boxed{\bf x=-5}`

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3. 14 = n +7

`\sf n+7=14`

Subtract 7 from both sides:-

`\sf n+7-7=14-7`

`\boxed{\bf n=7}`

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4. 354 = -6(-8m -3)

`\sf 354=6(8m+3)`

`\sf 6(8m+3)=354`

`\sf 48m+18=354`

Move constant to the right side:-

`\sf 48m=354-18`

Subtract numbers:-

`\sf 48m=336`

Divide both sides by 48:-

`\sf \cfrac{48m}{48}=\cfrac{336}{48}`

`\boxed{\bf m=7}`

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5. 8(5p - 5) = -120

`\sf 40p-40=-120`

Move constant to the right side:-

`\sf 40p=-120+40`

Add/Subtract numbers:-

`\sf 40p=-80`

Divide both sides by 40:-

`\sf \cfrac{40p}{40}=\cfrac{-80}{40}`

`\boxed{\bf p=-2}`

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6. -4(5n - 1) = -156​

`\sf 4(5n-1)=156`

`\sf 20n-4=156`

`\sf 20n=156+4`

Add numbers:-

`\sf 20n=160`

Divide both sides by 20:-

`\sf \cfrac{20n}{20}=\cfrac{160}{20}`

`\boxed{\bf n=8}`

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