2(3n-5)=(3n+3)+1

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Solution for 2(3n-5)=(3n+3)+1 equation:


Simplifying
2(3n + -5) = (3n + 3) + 1

Reorder the terms:
2(-5 + 3n) = (3n + 3) + 1
(-5 * 2 + 3n * 2) = (3n + 3) + 1
(-10 + 6n) = (3n + 3) + 1

Reorder the terms:
-10 + 6n = (3 + 3n) + 1

Remove parenthesis around (3 + 3n)
-10 + 6n = 3 + 3n + 1

Reorder the terms:
-10 + 6n = 3 + 1 + 3n

Combine like terms: 3 + 1 = 4
-10 + 6n = 4 + 3n

Solving
-10 + 6n = 4 + 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.
-10 + 6n + -3n = 4 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-10 + 3n = 4 + 3n + -3n

Combine like terms: 3n + -3n = 0
-10 + 3n = 4 + 0
-10 + 3n = 4

Add '10' to each side of the equation.
-10 + 10 + 3n = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 3n = 4 + 10
3n = 4 + 10

Combine like terms: 4 + 10 = 14
3n = 14

Divide each side by '3'.
n = 4.666666667

Simplifying
n = 4.666666667

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