24 – 3 (u - 2) = u + 8
Answers
Answer:
Step-by-step explanation:
Simplifying
24 + -3(u + -2) = u + 8
Reorder the terms:
24 + -3(-2 + u) = u + 8
24 + (-2 * -3 + u * -3) = u + 8
24 + (6 + -3u) = u + 8
Combine like terms: 24 + 6 = 30
30 + -3u = u + 8
Reorder the terms:
30 + -3u = 8 + u
Solving
30 + -3u = 8 + u
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-1u' to each side of the equation.
30 + -3u + -1u = 8 + u + -1u
Combine like terms: -3u + -1u = -4u
30 + -4u = 8 + u + -1u
Combine like terms: u + -1u = 0
30 + -4u = 8 + 0
30 + -4u = 8
Add '-30' to each side of the equation.
30 + -30 + -4u = 8 + -30
Combine like terms: 30 + -30 = 0
0 + -4u = 8 + -30
-4u = 8 + -30
Combine like terms: 8 + -30 = -22
-4u = -22
Divide each side by '-4'.
u = 5.5
Simplifying
u = 5.5
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Step-by-step explanation:
>24-3(u-2)=u+8
>24-3u+6=u+8
>30-3u=u+8
>30-3u-u-8=0
>22-4u=0
>22/4=u
>u=5.5//
#markmeasbrainliest