3(3n-5)=(7n+5)+1

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Solution for 3(3n-5)=(7n+5)+1 equation:


Simplifying
3(3n + -5) = (7n + 5) + 1

Reorder the terms:
3(-5 + 3n) = (7n + 5) + 1
(-5 * 3 + 3n * 3) = (7n + 5) + 1
(-15 + 9n) = (7n + 5) + 1

Reorder the terms:
-15 + 9n = (5 + 7n) + 1

Remove parenthesis around (5 + 7n)
-15 + 9n = 5 + 7n + 1

Reorder the terms:
-15 + 9n = 5 + 1 + 7n

Combine like terms: 5 + 1 = 6
-15 + 9n = 6 + 7n

Solving
-15 + 9n = 6 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-15 + 9n + -7n = 6 + 7n + -7n

Combine like terms: 9n + -7n = 2n
-15 + 2n = 6 + 7n + -7n

Combine like terms: 7n + -7n = 0
-15 + 2n = 6 + 0
-15 + 2n = 6

Add '15' to each side of the equation.
-15 + 15 + 2n = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 2n = 6 + 15
2n = 6 + 15

Combine like terms: 6 + 15 = 21
2n = 21

Divide each side by '2'.
n = 10.5

Simplifying
n = 10.5

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