Question

Solve for u.
– 22 = -8u + 6(u-7)
Simplify your answer as much as possible.

Answer 1

`\boxed{ \boxed{ \mathrm{ \bold{ \blue{ - 10}}}}}`

Explanation:

`\mathrm{ - 22 = - 8u + 6(u - 7)}`

Distribute 6 through the parentheses

⇒
`\mathsf{ - 22 = -8u + 6u - 42}`

Collect like terms

⇒
`\mathrm{ - 22 = - 2u - 42}`

Swap the sides of the equation

⇒
`\mathrm{ -2u - 42 = - 22}`

Move constant to R.H.S and change it's sign

⇒
`\mathrm{ - 2u = - 22 + 42}`

Calculate

⇒
`\mathrm{ - 2u = 20}`

Divide both sides of the equation by -2

⇒
`\mathrm{ ( - 2u)/( - 2) = (20)/( - 2) }`

Calculate

⇒
`\mathrm{u = - 10}`

Hope I helped!

Best regards!

Answer 2

Explanation:

- 22 = -8u + 6(u-7)

-22 = -8u + 6u - 42

8u - 6u = 22 - 42

2u = -20

u = -20/2

u = -10