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pshichka [43]
3 years ago
11

Solve forn: -6(n-8) = 4(12-5n)+14n

Mathematics
2 answers:
Dominik [7]3 years ago
6 0

\huge\text{Hey there!}

\huge\text{-6(n - 8) = 4(12 - 5n)}

\huge\text{First, \bf{distribute}}\text{ the terms}

Formula is: a ( b + c) = a(b) + a(c) = ab + ac  

\huge\text{First set}\downarrow

\text{-6(n - 8)}\\\text{-6(n) - 6(-8)}\\\text{-6(n) = -6n}\\\text{-6(-8) = 48}\\\boxed{\text{Result for the left side:-6n +48}}

\huge\text{Second set}\downarrow

\text{4(12-n)}\\\text{4(12 - 5n)}\\\text{4(12)-4(-5n)}\\\text{4(12) = 48}\\\text{4(-5n) = -20n}\\\boxed{\text{Result for the right side 48 + (-20)}}

\text{We get:-6n +48 +20n=-20n+ 48+ 20n}

→ = 14n+48 = 48

\huge\text{Now, you have to SUBTRACT by 48 on your}\\\huge\text{sides.}

\text{14n + 48 \bf{ - 48}}\text{ = 48 - \bf{48}}

\text{Cancel out the second: 48 - 48 because it equals 0}

\text{Keep the first one because it helps us solve for our answer}

\text{14n = 0}\\\text{Divide both sides by the number \bf{14}}

\dfrac{\text{14n}}{14} = \dfrac{0}{14}\\\\\text{Cancel out}\dfrac{\text{14n}}{14}\text{ because it equals to one and we don't need it for this problem}\\\\\\\text{Keep: }\dfrac{0}{14}\text{ because it helps us solve for our answer.}

\dfrac{0}{14}=0\div14 = 0\\\\\boxed{\boxed{\text{Answer: \bf{ n = 0}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

Irina-Kira [14]3 years ago
5 0

Answer:

0

Step-by-step explanation:

-6(n-8) = 4(12-5n)+14n

-6(n-8)=-6n+48 =  4(12-5n)+14n= 48-20n+14n

then 48-20n+14n<em> = 48-6n</em>

so you have

-6n+48 = <em>48-6n</em>

-6n+6n= n

n+48=48

n-48=48-48

n=0

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