6(3n-5)=(9n+5)+1

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Solution for 6(3n-5)=(9n+5)+1 equation:


Simplifying
6(3n + -5) = (9n + 5) + 1

Reorder the terms:
6(-5 + 3n) = (9n + 5) + 1
(-5 * 6 + 3n * 6) = (9n + 5) + 1
(-30 + 18n) = (9n + 5) + 1

Reorder the terms:
-30 + 18n = (5 + 9n) + 1

Remove parenthesis around (5 + 9n)
-30 + 18n = 5 + 9n + 1

Reorder the terms:
-30 + 18n = 5 + 1 + 9n

Combine like terms: 5 + 1 = 6
-30 + 18n = 6 + 9n

Solving
-30 + 18n = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-30 + 18n + -9n = 6 + 9n + -9n

Combine like terms: 18n + -9n = 9n
-30 + 9n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
-30 + 9n = 6 + 0
-30 + 9n = 6

Add '30' to each side of the equation.
-30 + 30 + 9n = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 9n = 6 + 30
9n = 6 + 30

Combine like terms: 6 + 30 = 36
9n = 36

Divide each side by '9'.
n = 4

Simplifying
n = 4

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