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4 years ago

What is the value of n when 6n-14=3n+7

Mathematics

2 answers:

Goshia [24]4 years ago

6 0

answer: n=7

work:

6n-14=3n+7

6n-14 (+14) = 3n+7 (+14) add 14 to both sides

6n=3n+21

6n(-3n)=3n(-3n)+21 subtract 3 from both sides

3n=21

3n/3= 21/3 divide by 3 on both sides

n=7

adoni [48]4 years ago

3 0

Answer: n = 7

Step-by-step explanation; Simplifying

6n + -7 = 14 + 3n

Reorder the terms:

-7 + 6n = 14 + 3n

Solving

-7 + 6n = 14 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.

-7 + 6n + -3n = 14 + 3n + -3n

Combine like terms: 6n + -3n = 3n

-7 + 3n = 14 + 3n + -3n

Combine like terms: 3n + -3n = 0

-7 + 3n = 14 + 0

-7 + 3n = 14

Add '7' to each side of the equation.

-7 + 7 + 3n = 14 + 7

Combine like terms: -7 + 7 = 0

0 + 3n = 14 + 7

3n = 14 + 7

Combine like terms: 14 + 7 = 21

3n = 21

Divide each side by '3'.

n = 7

Simplifying

n = 7

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