3(3n)-3(5)+4n=6+3(n)-2(4n)+5(4)

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Solution for 3(3n)-3(5)+4n=6+3(n)-2(4n)+5(4) equation:


Simplifying
3(3n) + -3(5) + 4n = 6 + 3(n) + -2(4n) + 5(4)

Remove parenthesis around (3n)
3 * 3n + -3(5) + 4n = 6 + 3(n) + -2(4n) + 5(4)

Multiply 3 * 3
9n + -3(5) + 4n = 6 + 3(n) + -2(4n) + 5(4)

Multiply -3 * 5
9n + -15 + 4n = 6 + 3(n) + -2(4n) + 5(4)

Reorder the terms:
-15 + 9n + 4n = 6 + 3(n) + -2(4n) + 5(4)

Combine like terms: 9n + 4n = 13n
-15 + 13n = 6 + 3(n) + -2(4n) + 5(4)

Remove parenthesis around (4n)
-15 + 13n = 6 + 3n + -2 * 4n + 5(4)

Multiply -2 * 4
-15 + 13n = 6 + 3n + -8n + 5(4)

Multiply 5 * 4
-15 + 13n = 6 + 3n + -8n + 20

Reorder the terms:
-15 + 13n = 6 + 20 + 3n + -8n

Combine like terms: 6 + 20 = 26
-15 + 13n = 26 + 3n + -8n

Combine like terms: 3n + -8n = -5n
-15 + 13n = 26 + -5n

Solving
-15 + 13n = 26 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-15 + 13n + 5n = 26 + -5n + 5n

Combine like terms: 13n + 5n = 18n
-15 + 18n = 26 + -5n + 5n

Combine like terms: -5n + 5n = 0
-15 + 18n = 26 + 0
-15 + 18n = 26

Add '15' to each side of the equation.
-15 + 15 + 18n = 26 + 15

Combine like terms: -15 + 15 = 0
0 + 18n = 26 + 15
18n = 26 + 15

Combine like terms: 26 + 15 = 41
18n = 41

Divide each side by '18'.
n = 2.277777778

Simplifying
n = 2.277777778

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