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Answer:

4+1/3x6=6 remember to use PEMDAS  so 1/3x6 would be less than the total of 6 or higher. this is because 1/3 is smaller than 1. 1/3x6=2  1/3 of 6 is 2. see the pattern?   now we add 4 to 2 to get 6

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Step-by-step explanation:i answered first

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How do you write "4 more than one third of a number n is 6" as an equation and how do you solve it?

To write an expression as an equation, you have to first break it down.

4 more is written as plus 4, or +4. One third of a number n is written as [tex]\frac{1}{3}\times n[/tex] , which is also n being divided by 3, or [tex]\frac{n}{3}[/tex]. is 6 is equal to [tex]=6[/tex]. To write that as an equation, you just have to combine all the numbers/phrases.

[tex]\frac{n}{3} +4=6\ \text{or}\ \frac{1}{3}n+4=6[/tex]

To solve the equation, you need to first leave the variable alone.

[tex]\frac{n}{3} +4=6[/tex]

To leave the variable n alone, you need to remove the 4 by doing the opposite of it, which is subtracting 4. Subtract 4 on both sides:

[tex]\frac{n}{3}+4-4=6-4[/tex]

[tex]\frac{n}{3}=2[/tex]

Remember you're looking for n alone. In the equation, n is being divided by 3. To make it 1n, or n, you need to do the opposite of dividing by 3, which is multiplying by 3. Multiply both sides by 3:

[tex]\frac{n}{3} \times 3=2 \times 3[/tex]

[tex]n=6[/tex]

Equation: [tex]\bf\frac{n}{3} +4=6\ \text{or}\ \frac{1}{3}n+4=6[/tex]

Value of n: [tex]\bf n=6[/tex]

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