10n+1=5n+9

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Solution for 10n+1=5n+9 equation:


Simplifying
10n + 1 = 5n + 9

Reorder the terms:
1 + 10n = 5n + 9

Reorder the terms:
1 + 10n = 9 + 5n

Solving
1 + 10n = 9 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
1 + 10n + -5n = 9 + 5n + -5n

Combine like terms: 10n + -5n = 5n
1 + 5n = 9 + 5n + -5n

Combine like terms: 5n + -5n = 0
1 + 5n = 9 + 0
1 + 5n = 9

Add '-1' to each side of the equation.
1 + -1 + 5n = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 5n = 9 + -1
5n = 9 + -1

Combine like terms: 9 + -1 = 8
5n = 8

Divide each side by '5'.
n = 1.6

Simplifying
n = 1.6

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