5(2n+1)=5(9n+1)+6

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Solution for 5(2n+1)=5(9n+1)+6 equation:


Simplifying
5(2n + 1) = 5(9n + 1) + 6

Reorder the terms:
5(1 + 2n) = 5(9n + 1) + 6
(1 * 5 + 2n * 5) = 5(9n + 1) + 6
(5 + 10n) = 5(9n + 1) + 6

Reorder the terms:
5 + 10n = 5(1 + 9n) + 6
5 + 10n = (1 * 5 + 9n * 5) + 6
5 + 10n = (5 + 45n) + 6

Reorder the terms:
5 + 10n = 5 + 6 + 45n

Combine like terms: 5 + 6 = 11
5 + 10n = 11 + 45n

Solving
5 + 10n = 11 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
5 + 10n + -45n = 11 + 45n + -45n

Combine like terms: 10n + -45n = -35n
5 + -35n = 11 + 45n + -45n

Combine like terms: 45n + -45n = 0
5 + -35n = 11 + 0
5 + -35n = 11

Add '-5' to each side of the equation.
5 + -5 + -35n = 11 + -5

Combine like terms: 5 + -5 = 0
0 + -35n = 11 + -5
-35n = 11 + -5

Combine like terms: 11 + -5 = 6
-35n = 6

Divide each side by '-35'.
n = -0.1714285714

Simplifying
n = -0.1714285714

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