5(2n-3)=(3n+9)+1

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Solution for 5(2n-3)=(3n+9)+1 equation:


Simplifying
5(2n + -3) = (3n + 9) + 1

Reorder the terms:
5(-3 + 2n) = (3n + 9) + 1
(-3 * 5 + 2n * 5) = (3n + 9) + 1
(-15 + 10n) = (3n + 9) + 1

Reorder the terms:
-15 + 10n = (9 + 3n) + 1

Remove parenthesis around (9 + 3n)
-15 + 10n = 9 + 3n + 1

Reorder the terms:
-15 + 10n = 9 + 1 + 3n

Combine like terms: 9 + 1 = 10
-15 + 10n = 10 + 3n

Solving
-15 + 10n = 10 + 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.
-15 + 10n + -3n = 10 + 3n + -3n

Combine like terms: 10n + -3n = 7n
-15 + 7n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
-15 + 7n = 10 + 0
-15 + 7n = 10

Add '15' to each side of the equation.
-15 + 15 + 7n = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 7n = 10 + 15
7n = 10 + 15

Combine like terms: 10 + 15 = 25
7n = 25

Divide each side by '7'.
n = 3.571428571

Simplifying
n = 3.571428571

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