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

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


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

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

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

Multiply -3 * 4
9n + -12 + 5n = 6 + 2(n) + -2(4n) + 2(4)

Reorder the terms:
-12 + 9n + 5n = 6 + 2(n) + -2(4n) + 2(4)

Combine like terms: 9n + 5n = 14n
-12 + 14n = 6 + 2(n) + -2(4n) + 2(4)

Remove parenthesis around (4n)
-12 + 14n = 6 + 2n + -2 * 4n + 2(4)

Multiply -2 * 4
-12 + 14n = 6 + 2n + -8n + 2(4)

Multiply 2 * 4
-12 + 14n = 6 + 2n + -8n + 8

Reorder the terms:
-12 + 14n = 6 + 8 + 2n + -8n

Combine like terms: 6 + 8 = 14
-12 + 14n = 14 + 2n + -8n

Combine like terms: 2n + -8n = -6n
-12 + 14n = 14 + -6n

Solving
-12 + 14n = 14 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-12 + 14n + 6n = 14 + -6n + 6n

Combine like terms: 14n + 6n = 20n
-12 + 20n = 14 + -6n + 6n

Combine like terms: -6n + 6n = 0
-12 + 20n = 14 + 0
-12 + 20n = 14

Add '12' to each side of the equation.
-12 + 12 + 20n = 14 + 12

Combine like terms: -12 + 12 = 0
0 + 20n = 14 + 12
20n = 14 + 12

Combine like terms: 14 + 12 = 26
20n = 26

Divide each side by '20'.
n = 1.3

Simplifying
n = 1.3

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